31667979659761 has 9 divisors (see below), whose sum is σ = 31747904221131. Its totient is φ = 31588255844784.

The previous prime is 31667979659731. The next prime is 31667979659779. The reversal of 31667979659761 is 16795697976613.

The square root of 31667979659761 is 5627431.

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., 28941914493361 + 2726065166400 = 5379769^2 + 1651080^2 .

It is not a de Polignac number, because 31667979659761 - 2³⁹ = 31118223845873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31667979659731) 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, 2301612400 + ... + 2301626158.

It is an arithmetic number, because the mean of its divisors is an integer number (3527544913459).

Almost surely, 2^{31667979659761} is an apocalyptic number.

31667979659761 is the 5627431-st square number.

31667979659761 is the 2813716-th centered octagonal number.

It is an amenable number.

31667979659761 is a deficient number, since it is larger than the sum of its proper divisors (79924561370).

31667979659761 is an frugal number, since it uses more digits than its factorization.

31667979659761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336 (or 14168 counting only the distinct ones).

The product of its digits is 4860913680, while the sum is 82.

The spelling of 31667979659761 in words is "thirty-one trillion, six hundred sixty-seven billion, nine hundred seventy-nine million, six hundred fifty-nine thousand, seven hundred sixty-one".