31966992 has 60 divisors (see below), whose sum is σ = 90718524. Its totient is φ = 10506240.

The previous prime is 31966937. The next prime is 31967027. The reversal of 31966992 is 29966913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 5588496 = 5136^2 + 2364^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8992 + ... + 12032.

Almost surely, 2^31966992 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 31966992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45359262).

31966992 is an abundant number, since it is smaller than the sum of its proper divisors (58751532).

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

31966992 is a wasteful number, since it uses less digits than its factorization.

31966992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3119 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 31966992 is about 5653.9359741688. The cubic root of 31966992 is about 317.3710125602.

The spelling of 31966992 in words is "thirty-one million, nine hundred sixty-six thousand, nine hundred ninety-two".