31573 has 2 divisors, whose sum is σ = 31574. Its totient is φ = 31572.

The previous prime is 31567. The next prime is 31583. The reversal of 31573 is 37513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 5329 = 162^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 31573 - 2⁵ = 31541 is a prime.

31573 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 31573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15786 + 15787.

It is an arithmetic number, because the mean of its divisors is an integer number (15787).

2³¹⁵⁷³ is an apocalyptic number.

It is an amenable number.

31573 is a deficient number, since it is larger than the sum of its proper divisors (1).

31573 is an equidigital number, since it uses as much as digits as its factorization.

31573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 315, while the sum is 19.

The square root of 31573 is about 177.6879286840. The cubic root of 31573 is about 31.6061756877.

It can be divided in two parts, 3157 and 3, that added together give a triangular number (3160 = T₇₉).

The spelling of 31573 in words is "thirty-one thousand, five hundred seventy-three".