902538 has 96 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 217728.

The previous prime is 902521. The next prime is 902563. The reversal of 902538 is 835209.

902538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

902538 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 47 ways as a sum of consecutive naturals, for example, 31108 + ... + 31136.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

902538 is a Friedman number, since it can be written as 950^2+38, using all its digits and the basic arithmetic operations.

2⁹⁰²⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

902538 is an abundant number, since it is smaller than the sum of its proper divisors (1718262).

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

902538 is a wasteful number, since it uses less digits than its factorization.

902538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 902538 is about 950.0199997895. The cubic root of 902538 is about 96.6396092855.

It can be divided in two parts, 90 and 2538, that added together give a triangular number (2628 = T₇₂).

The spelling of 902538 in words is "nine hundred two thousand, five hundred thirty-eight".