909972 has 72 divisors (see below), whose sum is σ = 2760576. Its totient is φ = 247104.

The previous prime is 909971. The next prime is 909973. The reversal of 909972 is 279909.

909972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (909971) and next prime (909973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 909972.

It is not an unprimeable number, because it can be changed into a prime (909971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5718 + ... + 5874.

2⁹⁰⁹⁹⁷² is an apocalyptic number.

909972 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380288).

909972 is an abundant number, since it is smaller than the sum of its proper divisors (1850604).

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

909972 is a wasteful number, since it uses less digits than its factorization.

909972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 909972 is about 953.9245253163. The cubic root of 909972 is about 96.9042169245.

It can be divided in two parts, 909 and 972, that added together give a palindrome (1881).

The spelling of 909972 in words is "nine hundred nine thousand, nine hundred seventy-two".