31673952 has 72 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 10402560.

The previous prime is 31673951. The next prime is 31673959. The reversal of 31673952 is 25937613.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31673951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19674 + ... + 21222.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^31673952 is an apocalyptic number.

31673952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31673952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

31673952 is an abundant number, since it is smaller than the sum of its proper divisors (59726448).

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

31673952 is a wasteful number, since it uses less digits than its factorization.

31673952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1625 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 31673952 is about 5627.9616203382. The cubic root of 31673952 is about 316.3982587410.

The spelling of 31673952 in words is "thirty-one million, six hundred seventy-three thousand, nine hundred fifty-two".