31671 has 20 divisors (see below), whose sum is σ = 52272. Its totient is φ = 19008.

The previous prime is 31667. The next prime is 31687. The reversal of 31671 is 17613.

Added to its reverse (17613) it gives a square (49284 = 222²).

31671 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 31671 - 2² = 31667 is a prime.

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 19 ways as a sum of consecutive naturals, for example, 1366 + ... + 1388.

2³¹⁶⁷¹ is an apocalyptic number.

31671 is a deficient number, since it is larger than the sum of its proper divisors (20601).

31671 is a wasteful number, since it uses less digits than its factorization.

31671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 43 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 31671 is about 177.9634793996. The cubic root of 31671 is about 31.6388429037.

Adding to 31671 its reverse (17613), we get a square (49284 = 222²).

The spelling of 31671 in words is "thirty-one thousand, six hundred seventy-one".