31501 has 6 divisors (see below), whose sum is σ = 33770. Its totient is φ = 29376.

The previous prime is 31489. The next prime is 31511. The reversal of 31501 is 10513.

31501 = 125² + 126².

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 15625 = 126^2 + 125^2 .

It is not a de Polignac number, because 31501 - 2⁵ = 31469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235 + ... + 343.

2³¹⁵⁰¹ is an apocalyptic number.

31501 is the 126-th centered square number.

It is an amenable number.

31501 is a deficient number, since it is larger than the sum of its proper divisors (2269).

31501 is a wasteful number, since it uses less digits than its factorization.

31501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 31501 is about 177.4852106515. The cubic root of 31501 is about 31.5821321837.

The spelling of 31501 in words is "thirty-one thousand, five hundred one".