31729164 has 48 divisors (see below), whose sum is σ = 78355200. Its totient is φ = 9965376.

The previous prime is 31729163. The next prime is 31729169. The reversal of 31729164 is 46192713.

It is not an unprimeable number, because it can be changed into a prime (31729163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72057 + ... + 72495.

It is an arithmetic number, because the mean of its divisors is an integer number (1632400).

Almost surely, 2^31729164 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 31729164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39177600).

31729164 is an abundant number, since it is smaller than the sum of its proper divisors (46626036).

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

31729164 is a wasteful number, since it uses less digits than its factorization.

31729164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 31729164 is about 5632.8646353343. The cubic root of 31729164 is about 316.5819937357.

The spelling of 31729164 in words is "thirty-one million, seven hundred twenty-nine thousand, one hundred sixty-four".