31117 has 6 divisors (see below), whose sum is σ = 33098. Its totient is φ = 29232.

The previous prime is 31091. The next prime is 31121. The reversal of 31117 is 71113.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 19881 = 106^2 + 141^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31097 and 31106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31147) 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, 823 + ... + 859.

2³¹¹¹⁷ is an apocalyptic number.

31117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

31117 is a deficient number, since it is larger than the sum of its proper divisors (1981).

31117 is an equidigital number, since it uses as much as digits as its factorization.

31117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its digits is 21, while the sum is 13.

The square root of 31117 is about 176.4001133786. The cubic root of 31117 is about 31.4532775037.

The spelling of 31117 in words is "thirty-one thousand, one hundred seventeen".