972816669 has 32 divisors (see below), whose sum is σ = 1605703680. Its totient is φ = 577033200.

The previous prime is 972816667. The next prime is 972816683. The reversal of 972816669 is 966618279.

972816669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972816669 - 2¹ = 972816667 is a prime.

It is a super-2 number, since 2×972816669² = 1892744542968511122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972816667) 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, 20887 + ... + 48804.

It is an arithmetic number, because the mean of its divisors is an integer number (50178240).

Almost surely, 2^972816669 is an apocalyptic number.

972816669 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

972816669 is a deficient number, since it is larger than the sum of its proper divisors (632887011).

972816669 is a wasteful number, since it uses less digits than its factorization.

972816669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69758 (or 69752 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 972816669 is about 31190.0091215120. The cubic root of 972816669 is about 990.8555231004.

The spelling of 972816669 in words is "nine hundred seventy-two million, eight hundred sixteen thousand, six hundred sixty-nine".