31967 has 4 divisors (see below), whose sum is σ = 34440. Its totient is φ = 29496.

The previous prime is 31963. The next prime is 31973. The reversal of 31967 is 76913.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 31967 - 2² = 31963 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1217 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2³¹⁹⁶⁷ is an apocalyptic number.

31967 is a deficient number, since it is larger than the sum of its proper divisors (2473).

31967 is a wasteful number, since it uses less digits than its factorization.

31967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472.

The product of its digits is 1134, while the sum is 26.

The square root of 31967 is about 178.7931766036. The cubic root of 31967 is about 31.7371039035.

The spelling of 31967 in words is "thirty-one thousand, nine hundred sixty-seven".