972993656761 has 8 divisors (see below), whose sum is σ = 1111998767040. Its totient is φ = 833990050608.

The previous prime is 972993656729. The next prime is 972993656807. The reversal of 972993656761 is 167656399279.

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 972993656761 - 2⁵ = 972993656729 is a prime.

It is a super-2 number, since 2×972993656761² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (972993656461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2076915 + ... + 2501911.

It is an arithmetic number, because the mean of its divisors is an integer number (138999845880).

Almost surely, 2^972993656761 is an apocalyptic number.

It is an amenable number.

972993656761 is a deficient number, since it is larger than the sum of its proper divisors (139005110279).

972993656761 is a wasteful number, since it uses less digits than its factorization.

972993656761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752063.

The product of its digits is 231472080, while the sum is 70.

The spelling of 972993656761 in words is "nine hundred seventy-two billion, nine hundred ninety-three million, six hundred fifty-six thousand, seven hundred sixty-one".