31167 has 6 divisors (see below), whose sum is σ = 45032. Its totient is φ = 20772.

The previous prime is 31159. The next prime is 31177. The reversal of 31167 is 76113.

It is not a de Polignac number, because 31167 - 2³ = 31159 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31147) 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, 1723 + ... + 1740.

2³¹¹⁶⁷ is an apocalyptic number.

31167 is a deficient number, since it is larger than the sum of its proper divisors (13865).

31167 is a wasteful number, since it uses less digits than its factorization.

31167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3466 counting only the distinct ones).

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

The square root of 31167 is about 176.5417797577. The cubic root of 31167 is about 31.4701152697.

It can be divided in two parts, 3116 and 7, that multiplied together give a palindrome (21812).

The spelling of 31167 in words is "thirty-one thousand, one hundred sixty-seven".