972059936761 has 9 divisors (see below), whose sum is σ = 976348774479. Its totient is φ = 967789869600.

The previous prime is 972059936759. The next prime is 972059936767. The reversal of 972059936761 is 167639950279.

The square root of 972059936761 is 985931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 731057490361 + 241002446400 = 855019^2 + 490920^2 .

It is not a de Polignac number, because 972059936761 - 2¹ = 972059936759 is a prime.

It is a super-2 number, since 2×972059936761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972059936693 and 972059936702.

It is not an unprimeable number, because it can be changed into a prime (972059936767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 237607326 + ... + 237611416.

Almost surely, 2^972059936761 is an apocalyptic number.

972059936761 is the 985931-st square number.

972059936761 is the 492966-th centered octagonal number.

It is an amenable number.

972059936761 is a deficient number, since it is larger than the sum of its proper divisors (4288837718).

972059936761 is an frugal number, since it uses more digits than its factorization.

972059936761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 64.

Multiplying 972059936761 by its sum of digits (64), we get a square (62211835952704 = 7887448²).

The spelling of 972059936761 in words is "nine hundred seventy-two billion, fifty-nine million, nine hundred thirty-six thousand, seven hundred sixty-one".