972134031 has 32 divisors (see below), whose sum is σ = 1553172480. Its totient is φ = 533887200.

The previous prime is 972133999. The next prime is 972134039. The reversal of 972134031 is 130431279.

It is not a de Polignac number, because 972134031 - 2⁵ = 972133999 is a prime.

It is a super-2 number, since 2×972134031² = 1890089148456617922, 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 972134031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972134039) 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, 19285 + ... + 48126.

It is an arithmetic number, because the mean of its divisors is an integer number (48536640).

Almost surely, 2^972134031 is an apocalyptic number.

972134031 is a deficient number, since it is larger than the sum of its proper divisors (581038449).

972134031 is a wasteful number, since it uses less digits than its factorization.

972134031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67467.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 972134031 is about 31179.0639853091. The cubic root of 972134031 is about 990.6237035028.

The spelling of 972134031 in words is "nine hundred seventy-two million, one hundred thirty-four thousand, thirty-one".