4052 has 6 divisors (see below), whose sum is σ = 7098. Its totient is φ = 2024.

The previous prime is 4051. The next prime is 4057. The reversal of 4052 is 2504.

4052 = T₄₃ + T₄₄ + ... + T₄₆.

It can be written as a sum of positive squares in only one way, i.e., 2116 + 1936 = 46^2 + 44^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4052.

It is not an unprimeable number, because it can be changed into a prime (4051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (1183).

2⁴⁰⁵² is an apocalyptic number.

It is an amenable number.

4052 is a deficient number, since it is larger than the sum of its proper divisors (3046).

4052 is a wasteful number, since it uses less digits than its factorization.

4052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4052 is about 63.6553218514. The cubic root of 4052 is about 15.9425019543.

Adding to 4052 its reverse (2504), we get a palindrome (6556).

It can be divided in two parts, 40 and 52, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 4052 in words is "four thousand, fifty-two", and thus it is an eban number.