31605372841 has 27 divisors (see below), whose sum is σ = 37265761701. Its totient is φ = 26726583744.

The previous prime is 31605372839. The next prime is 31605372857. The reversal of 31605372841 is 14827350613.

The square root of 31605372841 is 177779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 419225625 + 31186147216 = 20475^2 + 176596^2 .

It is not a de Polignac number, because 31605372841 - 2¹ = 31605372839 is a prime.

It is a super-2 number, since 2×31605372841² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31605372794 and 31605372803.

It is not an unprimeable number, because it can be changed into a prime (31605372041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135645261 + ... + 135645493.

Almost surely, 2^31605372841 is an apocalyptic number.

31605372841 is the 177779-th square number.

31605372841 is the 88890-th centered octagonal number.

It is an amenable number.

31605372841 is a deficient number, since it is larger than the sum of its proper divisors (5660388860).

31605372841 is an frugal number, since it uses more digits than its factorization.

31605372841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 31605372841 in words is "thirty-one billion, six hundred five million, three hundred seventy-two thousand, eight hundred forty-one".