31819067641 has 9 divisors (see below), whose sum is σ = 32959470063. Its totient is φ = 30716863800.

The previous prime is 31819067549. The next prime is 31819067653. The reversal of 31819067641 is 14676091813.

The square root of 31819067641 is 178379.

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., 16685147241 + 15133920400 = 129171^2 + 123020^2 .

It is not a de Polignac number, because 31819067641 - 2²⁵ = 31785513209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31819067591 and 31819067600.

It is not an unprimeable number, because it can be changed into a prime (31819067681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5169916 + ... + 5176066.

Almost surely, 2^31819067641 is an apocalyptic number.

31819067641 is the 178379-th square number.

31819067641 is the 89190-th centered octagonal number.

It is an amenable number.

31819067641 is a deficient number, since it is larger than the sum of its proper divisors (1140402422).

31819067641 is an frugal number, since it uses more digits than its factorization.

31819067641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 31819067641 in words is "thirty-one billion, eight hundred nineteen million, sixty-seven thousand, six hundred forty-one".