90005252 has 12 divisors (see below), whose sum is σ = 157904796. Its totient is φ = 44889600.

The previous prime is 90005243. The next prime is 90005257. The reversal of 90005252 is 25250009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40780996 + 49224256 = 6386^2 + 7016^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90005257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26453 + ... + 29660.

It is an arithmetic number, because the mean of its divisors is an integer number (13158733).

Almost surely, 2^90005252 is an apocalyptic number.

It is an amenable number.

90005252 is a deficient number, since it is larger than the sum of its proper divisors (67899544).

90005252 is a wasteful number, since it uses less digits than its factorization.

90005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56518 (or 56516 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 90005252 is about 9487.1097811715. The cubic root of 90005252 is about 448.1491916483.

The spelling of 90005252 in words is "ninety million, five thousand, two hundred fifty-two".