31655882241 has 45 divisors (see below), whose sum is σ = 48327047769. Its totient is φ = 20650222944.

The previous prime is 31655882233. The next prime is 31655882299. The reversal of 31655882241 is 14228855613.

The square root of 31655882241 is 177921.

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

31655882241 is a `hidden beast` number, since 3 + 1 + 6 + 5 + 588 + 22 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2291632641 + 29364249600 = 47871^2 + 171360^2 .

It is not a de Polignac number, because 31655882241 - 2³ = 31655882233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31655882441) 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 44 ways as a sum of consecutive naturals, for example, 84868131 + ... + 84868503.

Almost surely, 2^31655882241 is an apocalyptic number.

31655882241 is the 177921-st square number.

31655882241 is the 88961-st centered octagonal number.

It is an amenable number.

31655882241 is a deficient number, since it is larger than the sum of its proper divisors (16671165528).

31655882241 is an frugal number, since it uses more digits than its factorization.

31655882241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 31655882241 in words is "thirty-one billion, six hundred fifty-five million, eight hundred eighty-two thousand, two hundred forty-one".