31993164 has 96 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 9028800.

The previous prime is 31993127. The next prime is 31993187. The reversal of 31993164 is 46139913.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76147 + ... + 76565.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 2^31993164 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 31993164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

31993164 is an abundant number, since it is smaller than the sum of its proper divisors (63968436).

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

31993164 is a wasteful number, since it uses less digits than its factorization.

31993164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 31993164 is about 5656.2499944751. The cubic root of 31993164 is about 317.4576015470.

The spelling of 31993164 in words is "thirty-one million, nine hundred ninety-three thousand, one hundred sixty-four".