31997600 has 144 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 11658240.

The previous prime is 31997593. The next prime is 31997617. The reversal of 31997600 is 679913.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680777 + ... + 680823.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^31997600 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 31997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

31997600 is an abundant number, since it is smaller than the sum of its proper divisors (53496928).

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

31997600 is a wasteful number, since it uses less digits than its factorization.

31997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 31997600 is about 5656.6421134804. The cubic root of 31997600 is about 317.4722731899.

The spelling of 31997600 in words is "thirty-one million, nine hundred ninety-seven thousand, six hundred".