972747 has 12 divisors (see below), whose sum is σ = 1453920. Its totient is φ = 625968.

The previous prime is 972721. The next prime is 972787. The reversal of 972747 is 747279.

It is not a de Polignac number, because 972747 - 2⁶ = 972683 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (972787) 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, 1603 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (121160).

2⁹⁷²⁷⁴⁷ is an apocalyptic number.

972747 is a deficient number, since it is larger than the sum of its proper divisors (481173).

972747 is a wasteful number, since it uses less digits than its factorization.

972747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3759 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 972747 is about 986.2793721862. The cubic root of 972747 is about 99.0831868914.

The spelling of 972747 in words is "nine hundred seventy-two thousand, seven hundred forty-seven".