972872991 has 32 divisors (see below), whose sum is σ = 1533888000. Its totient is φ = 607305600.

The previous prime is 972872981. The next prime is 972873019. The reversal of 972872991 is 199278279.

It is not a de Polignac number, because 972872991 - 2⁷ = 972872863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972872911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86016 + ... + 96666.

It is an arithmetic number, because the mean of its divisors is an integer number (47934000).

Almost surely, 2^972872991 is an apocalyptic number.

972872991 is a deficient number, since it is larger than the sum of its proper divisors (561015009).

972872991 is a wasteful number, since it uses less digits than its factorization.

972872991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10870 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 972872991 is about 31190.9119937202. The cubic root of 972872991 is about 990.8746448560.

The spelling of 972872991 in words is "nine hundred seventy-two million, eight hundred seventy-two thousand, nine hundred ninety-one".