902952 has 24 divisors (see below), whose sum is σ = 2445690. Its totient is φ = 300960.

The previous prime is 902933. The next prime is 902953. The reversal of 902952 is 259209.

902952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 617796 + 285156 = 786^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 902952.

It is not an unprimeable number, because it can be changed into a prime (902953) by changing a digit.

902952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6199 + ... + 6342.

2⁹⁰²⁹⁵² is an apocalyptic number.

It is an amenable number.

902952 is an abundant number, since it is smaller than the sum of its proper divisors (1542738).

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

902952 is a wasteful number, since it uses less digits than its factorization.

902952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12553 (or 12546 counting only the distinct ones).

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

The square root of 902952 is about 950.2378649580. The cubic root of 902952 is about 96.6543834307.

The spelling of 902952 in words is "nine hundred two thousand, nine hundred fifty-two".