972996129 has 24 divisors (see below), whose sum is σ = 1607878272. Its totient is φ = 555422400.

The previous prime is 972996119. The next prime is 972996151. The reversal of 972996129 is 921699279.

It is not a de Polignac number, because 972996129 - 2⁷ = 972996001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972996109) 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 23 ways as a sum of consecutive naturals, for example, 57604 + ... + 72554.

It is an arithmetic number, because the mean of its divisors is an integer number (66994928).

Almost surely, 2^972996129 is an apocalyptic number.

It is an amenable number.

972996129 is a deficient number, since it is larger than the sum of its proper divisors (634882143).

972996129 is a wasteful number, since it uses less digits than its factorization.

972996129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15997 (or 15994 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 972996129 is about 31192.8858716214. The cubic root of 972996129 is about 990.9164485912.

The spelling of 972996129 in words is "nine hundred seventy-two million, nine hundred ninety-six thousand, one hundred twenty-nine".