252008 has 24 divisors (see below), whose sum is σ = 506550. Its totient is φ = 117504.

The previous prime is 252001. The next prime is 252013. The reversal of 252008 is 800252.

It is a happy number.

252008 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 252004 + 4 = 502^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (252001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2258 + ... + 2366.

2²⁵²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

252008 is an abundant number, since it is smaller than the sum of its proper divisors (254542).

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

252008 is a wasteful number, since it uses less digits than its factorization.

252008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 252008 is about 502.0039840479. The cubic root of 252008 is about 63.1642643673.

The spelling of 252008 in words is "two hundred fifty-two thousand, eight".