252909 has 32 divisors (see below), whose sum is σ = 432000. Its totient is φ = 145152.

The previous prime is 252899. The next prime is 252911. The reversal of 252909 is 909252.

It is not a de Polignac number, because 252909 - 2⁴ = 252893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

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 252909.

It is not an unprimeable number, because it can be changed into a prime (252919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8707 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁵²⁹⁰⁹ is an apocalyptic number.

252909 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

252909 is a deficient number, since it is larger than the sum of its proper divisors (179091).

252909 is a wasteful number, since it uses less digits than its factorization.

252909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 252909 is about 502.9005865974. The cubic root of 252909 is about 63.2394515469.

The spelling of 252909 in words is "two hundred fifty-two thousand, nine hundred nine".