31673 has 4 divisors (see below), whose sum is σ = 33360. Its totient is φ = 29988.

The previous prime is 31667. The next prime is 31687. The reversal of 31673 is 37613.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 37613 = 29 ⋅1297.

It is a cyclic number.

It is not a de Polignac number, because 31673 - 2⁴ = 31657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (31643) 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 in 3 ways as a sum of consecutive naturals, for example, 815 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (8340).

2³¹⁶⁷³ is an apocalyptic number.

It is an amenable number.

31673 is a deficient number, since it is larger than the sum of its proper divisors (1687).

31673 is a wasteful number, since it uses less digits than its factorization.

31673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686.

The product of its digits is 378, while the sum is 20.

The square root of 31673 is about 177.9690984413. The cubic root of 31673 is about 31.6395088795.

The spelling of 31673 in words is "thirty-one thousand, six hundred seventy-three".