657252 has 18 divisors (see below), whose sum is σ = 1661478. Its totient is φ = 219072.

The previous prime is 657233. The next prime is 657257. The reversal of 657252 is 252756.

657252 is a `hidden beast` number, since 657 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 509796 + 147456 = 714^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 657252.

It is not an unprimeable number, because it can be changed into a prime (657257) by changing a digit.

657252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9093 + ... + 9164.

2⁶⁵⁷²⁵² is an apocalyptic number.

It is an amenable number.

657252 is an abundant number, since it is smaller than the sum of its proper divisors (1004226).

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

657252 is a wasteful number, since it uses less digits than its factorization.

657252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267 (or 18262 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 657252 is about 810.7107992373. The cubic root of 657252 is about 86.9448719321.

Subtracting from 657252 its reverse (252756), we obtain a square (404496 = 636²).

It can be divided in two parts, 657 and 252, that added together give a palindrome (909).

The spelling of 657252 in words is "six hundred fifty-seven thousand, two hundred fifty-two".