252731 has 2 divisors, whose sum is σ = 252732. Its totient is φ = 252730.

The previous prime is 252727. The next prime is 252737. The reversal of 252731 is 137252.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 252731 - 2² = 252727 is a prime.

It is a super-2 number, since 2×252731² = 127745916722, which contains 22 as substring.

It is a Chen prime.

It is equal to p₂₂₂₅₉ and since 252731 and 22259 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126365 + 126366.

It is an arithmetic number, because the mean of its divisors is an integer number (126366).

2²⁵²⁷³¹ is an apocalyptic number.

252731 is a deficient number, since it is larger than the sum of its proper divisors (1).

252731 is an equidigital number, since it uses as much as digits as its factorization.

252731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 252731 is about 502.7235821005. The cubic root of 252731 is about 63.2246118691.

Adding to 252731 its reverse (137252), we get a palindrome (389983).

The spelling of 252731 in words is "two hundred fifty-two thousand, seven hundred thirty-one".