972644829 has 32 divisors (see below), whose sum is σ = 1424070144. Its totient is φ = 586872000.

The previous prime is 972644807. The next prime is 972644843. The reversal of 972644829 is 928446279.

It is not a de Polignac number, because 972644829 - 2²³ = 964256221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972643829) 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 31 ways as a sum of consecutive naturals, for example, 655122 + ... + 656604.

It is an arithmetic number, because the mean of its divisors is an integer number (44502192).

Almost surely, 2^972644829 is an apocalyptic number.

It is an amenable number.

972644829 is a deficient number, since it is larger than the sum of its proper divisors (451425315).

972644829 is a wasteful number, since it uses less digits than its factorization.

972644829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817.

The product of its digits is 1741824, while the sum is 51.

The square root of 972644829 is about 31187.2542715770. The cubic root of 972644829 is about 990.7971775268.

The spelling of 972644829 in words is "nine hundred seventy-two million, six hundred forty-four thousand, eight hundred twenty-nine".