972135831 has 8 divisors (see below), whose sum is σ = 1296430704. Its totient is φ = 647965760.

The previous prime is 972135811. The next prime is 972135841. The reversal of 972135831 is 138531279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972135831 - 2⁵ = 972135799 is a prime.

It is a super-2 number, since 2×972135831² = 1890096147828121122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 972135831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972135811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11190 + ... + 45491.

It is an arithmetic number, because the mean of its divisors is an integer number (162053838).

Almost surely, 2^972135831 is an apocalyptic number.

972135831 is a deficient number, since it is larger than the sum of its proper divisors (324294873).

972135831 is a wasteful number, since it uses less digits than its factorization.

972135831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62401.

The product of its digits is 45360, while the sum is 39.

The square root of 972135831 is about 31179.0928508191. The cubic root of 972135831 is about 990.6243149143.

The spelling of 972135831 in words is "nine hundred seventy-two million, one hundred thirty-five thousand, eight hundred thirty-one".