31672964961 has 27 divisors (see below), whose sum is σ = 50296338547. Its totient is φ = 19192176960.

The previous prime is 31672964951. The next prime is 31672964963. The reversal of 31672964961 is 16946927613.

The square root of 31672964961 is 177969.

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

31672964961 is a `hidden beast` number, since 3 + 1 + 67 + 2 + 96 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30187325025 + 1485639936 = 173745^2 + 38544^2 .

It is not a de Polignac number, because 31672964961 - 2¹³ = 31672956769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31672964898 and 31672964907.

It is not an unprimeable number, because it can be changed into a prime (31672964963) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5870281 + ... + 5875673.

Almost surely, 2^31672964961 is an apocalyptic number.

31672964961 is the 177969-th square number.

31672964961 is the 88985-th centered octagonal number.

It is an amenable number.

31672964961 is a deficient number, since it is larger than the sum of its proper divisors (18623373586).

31672964961 is an frugal number, since it uses more digits than its factorization.

31672964961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814 (or 5407 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 31672964961 in words is "thirty-one billion, six hundred seventy-two million, nine hundred sixty-four thousand, nine hundred sixty-one".