900972 has 36 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 289632.

The previous prime is 900971. The next prime is 900973. The reversal of 900972 is 279009.

It is an interprime number because it is at equal distance from previous prime (900971) and next prime (900973).

It is a tau number, because it is divible by the number of its divisors (36).

900972 is a modest number, since divided by 972 gives 900 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁹⁰⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

900972 is an abundant number, since it is smaller than the sum of its proper divisors (1457748).

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

900972 is a wasteful number, since it uses less digits than its factorization.

900972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 900972 is about 949.1954487881. The cubic root of 900972 is about 96.5836835732.

The spelling of 900972 in words is "nine hundred thousand, nine hundred seventy-two".