31442632 has 64 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 13837824.

The previous prime is 31442629. The next prime is 31442657. The reversal of 31442632 is 23624413.

It is a junction number, because it is equal to n+sod(n) for n = 31442597 and 31442606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353244 + ... + 353332.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^31442632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

31442632 is an abundant number, since it is smaller than the sum of its proper divisors (35085368).

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

31442632 is a wasteful number, since it uses less digits than its factorization.

31442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 31442632 is about 5607.3730034661. The cubic root of 31442632 is about 315.6261401390.

It can be divided in two parts, 3144 and 2632, that added together give a square (5776 = 76²).

The spelling of 31442632 in words is "thirty-one million, four hundred forty-two thousand, six hundred thirty-two".