31667 has 2 divisors, whose sum is σ = 31668. Its totient is φ = 31666.

The previous prime is 31663. The next prime is 31687. The reversal of 31667 is 76613.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 31667 - 2² = 31663 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15833 + 15834.

It is an arithmetic number, because the mean of its divisors is an integer number (15834).

2³¹⁶⁶⁷ is an apocalyptic number.

31667 is a deficient number, since it is larger than the sum of its proper divisors (1).

31667 is an equidigital number, since it uses as much as digits as its factorization.

31667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 31667 is about 177.9522407839. The cubic root of 31667 is about 31.6375108681.

Adding to 31667 its product of digits (756), we get a palindrome (32423).

It can be divided in two parts, 316 and 67, that added together give a palindrome (383).

The spelling of 31667 in words is "thirty-one thousand, six hundred sixty-seven".