31410997677 has 12 divisors (see below), whose sum is σ = 45820664604. Its totient is φ = 20733331200.

The previous prime is 31410997643. The next prime is 31410997711. The reversal of 31410997677 is 77679901413.

31410997677 is a `hidden beast` number, since 3 + 1 + 410 + 99 + 76 + 77 = 666.

It is an interprime number because it is at equal distance from previous prime (31410997643) and next prime (31410997711).

It can be written as a sum of positive squares in 2 ways, for example, as 25795893321 + 5615104356 = 160611^2 + 74934^2 .

It is not a de Polignac number, because 31410997677 - 2⁸ = 31410997421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31410997637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17276868 + ... + 17278685.

It is an arithmetic number, because the mean of its divisors is an integer number (3818388717).

Almost surely, 2^31410997677 is an apocalyptic number.

It is an amenable number.

31410997677 is a deficient number, since it is larger than the sum of its proper divisors (14409666927).

31410997677 is a wasteful number, since it uses less digits than its factorization.

31410997677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34555660 (or 34555657 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 31410997677 in words is "thirty-one billion, four hundred ten million, nine hundred ninety-seven thousand, six hundred seventy-seven".