31631634 has 40 divisors (see below), whose sum is σ = 73333260. Its totient is φ = 10178784.

The previous prime is 31631629. The next prime is 31631641. The reversal of 31631634 is 43613613.

31631634 is a `hidden beast` number, since 316 + 316 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27531009 + 4100625 = 5247^2 + 2025^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31631598 and 31631607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1332 + ... + 8064.

Almost surely, 2^31631634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31631634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666630).

31631634 is an abundant number, since it is smaller than the sum of its proper divisors (41701626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31631634 is a wasteful number, since it uses less digits than its factorization.

31631634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6767 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 31631634 is about 5624.2007432168. The cubic root of 31631634 is about 316.2572879217.

The spelling of 31631634 in words is "thirty-one million, six hundred thirty-one thousand, six hundred thirty-four".