252906 has 16 divisors (see below), whose sum is σ = 514848. Its totient is φ = 82800.

The previous prime is 252899. The next prime is 252911. The reversal of 252906 is 609252.

It is a super-2 number, since 2×252906² = 127922889672, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252906.

It is an unprimeable number.

252906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (32178).

2²⁵²⁹⁰⁶ is an apocalyptic number.

252906 is an abundant number, since it is smaller than the sum of its proper divisors (261942).

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

252906 is a wasteful number, since it uses less digits than its factorization.

252906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 252906 is about 502.8976038917. The cubic root of 252906 is about 63.2392014977.

The spelling of 252906 in words is "two hundred fifty-two thousand, nine hundred six".