31608 has 24 divisors (see below), whose sum is σ = 85800. Its totient is φ = 10512.

The previous prime is 31607. The next prime is 31627. The reversal of 31608 is 80613.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (3575).

2³¹⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

31608 is an abundant number, since it is smaller than the sum of its proper divisors (54192).

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

31608 is a wasteful number, since it uses less digits than its factorization.

31608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31608 is about 177.7863886803. The cubic root of 31608 is about 31.6178503004.

Adding to 31608 its sum of digits (18), we get a triangular number (31626 = T₂₅₁).

The spelling of 31608 in words is "thirty-one thousand, six hundred eight".