31973 has 2 divisors, whose sum is σ = 31974. Its totient is φ = 31972.

The previous prime is 31963. The next prime is 31981. The reversal of 31973 is 37913.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 289 = 178^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 31973 - 2⁴ = 31957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15986 + 15987.

It is an arithmetic number, because the mean of its divisors is an integer number (15987).

2³¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

31973 is a deficient number, since it is larger than the sum of its proper divisors (1).

31973 is an equidigital number, since it uses as much as digits as its factorization.

31973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 567, while the sum is 23.

The square root of 31973 is about 178.8099549801. The cubic root of 31973 is about 31.7390893960.

It can be divided in two parts, 3197 and 3, that multiplied together give a triangular number (9591 = T₁₃₈).

The spelling of 31973 in words is "thirty-one thousand, nine hundred seventy-three".