252357 has 16 divisors (see below), whose sum is σ = 392832. Its totient is φ = 141120.

The previous prime is 252341. The next prime is 252359. The reversal of 252357 is 753252.

It is not a de Polignac number, because 252357 - 2⁴ = 252341 is a prime.

252357 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2²⁵²³⁵⁷ is an apocalyptic number.

It is an amenable number.

252357 is a deficient number, since it is larger than the sum of its proper divisors (140475).

252357 is a wasteful number, since it uses less digits than its factorization.

252357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 2100, while the sum is 24.

The square root of 252357 is about 502.3514705861. The cubic root of 252357 is about 63.1934091562.

The spelling of 252357 in words is "two hundred fifty-two thousand, three hundred fifty-seven".