4356 has 27 divisors (see below), whose sum is σ = 12103. Its totient is φ = 1320.

The previous prime is 4349. The next prime is 4357. The reversal of 4356 is 6534.

4356 = T₆₅ + T₆₆.

4356 = 1³ + 2³ + ... + 11³.

It is a happy number.

The square root of 4356 is 66.

It is a perfect power (a square), and thus also a powerful number.

4356 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 11.

It is a zygodrome in base 5 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4356.

It is not an unprimeable number, because it can be changed into a prime (4357) by changing a digit.

4356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 391 + ... + 401.

4356 is the 66-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4356

4356 is an abundant number, since it is smaller than the sum of its proper divisors (7747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4356 is a wasteful number, since it uses less digits than its factorization.

4356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 16 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The cubic root of 4356 is about 16.3316209043.

4356 divided by its sum of digits (18) gives a palindrome (242).

It can be divided in two parts, 435 and 6, that added together give a square (441 = 21²).

The spelling of 4356 in words is "four thousand, three hundred fifty-six".