31683644001 has 9 divisors (see below), whose sum is σ = 45766034899. Its totient is φ = 21122073336.

The previous prime is 31683643993. The next prime is 31683644063. The reversal of 31683644001 is 10044638613.

It is a happy number.

The square root of 31683644001 is 177999.

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

31683644001 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 3 + 644 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14490140625 + 17193503376 = 120375^2 + 131124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 31683644001 - 2³ = 31683643993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31683644081) 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, 504331 + ... + 563663.

Almost surely, 2^31683644001 is an apocalyptic number.

31683644001 is the 177999-th square number.

31683644001 is the 89000-th centered octagonal number.

It is an amenable number.

31683644001 is a deficient number, since it is larger than the sum of its proper divisors (14082390898).

31683644001 is an frugal number, since it uses more digits than its factorization.

31683644001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118672 (or 59336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 31683644001 by its sum of digits (36), we get a square (1140611184036 = 1067994²).

It can be divided in two parts, 31683 and 644001, that added together give a square (675684 = 822²).

The spelling of 31683644001 in words is "thirty-one billion, six hundred eighty-three million, six hundred forty-four thousand, one".