31672 has 16 divisors (see below), whose sum is σ = 61560. Its totient is φ = 15264.

The previous prime is 31667. The next prime is 31687. The reversal of 31672 is 27613.

It is a congruent number.

It is an unprimeable number.

31672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 349.

2³¹⁶⁷² is an apocalyptic number.

It is an amenable number.

31672 is a deficient number, since it is larger than the sum of its proper divisors (29888).

31672 is a wasteful number, since it uses less digits than its factorization.

31672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 31672 is about 177.9662889426. The cubic root of 31672 is about 31.6391758951.

It can be divided in two parts, 31 and 672, that added together give a triangular number (703 = T₃₇).

The spelling of 31672 in words is "thirty-one thousand, six hundred seventy-two".