656253 has 24 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 393120.

The previous prime is 656237. The next prime is 656263. The reversal of 656253 is 352656.

656253 is a `hidden beast` number, since 656 + 2 + 5 + 3 = 666.

656253 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 656253 - 2⁴ = 656237 is a prime.

656253 is strictly pandigital in base 7.

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 656253.

It is not an unprimeable number, because it can be changed into a prime (656263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8268 + ... + 8346.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

656253 is a Friedman number, since it can be written as 3+6*5^6*(5+2), using all its digits and the basic arithmetic operations.

2⁶⁵⁶²⁵³ is an apocalyptic number.

It is an amenable number.

656253 is a deficient number, since it is larger than the sum of its proper divisors (392067).

656253 is a wasteful number, since it uses less digits than its factorization.

656253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 656253 is about 810.0944389391. The cubic root of 656253 is about 86.9007985420.

It can be divided in two parts, 656 and 253, that added together give a palindrome (909).

The spelling of 656253 in words is "six hundred fifty-six thousand, two hundred fifty-three".