31717 has 8 divisors (see below), whose sum is σ = 38016. Its totient is φ = 25872.

The previous prime is 31699. The next prime is 31721. The reversal of 31717 is 71713.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31717 - 2¹¹ = 29669 is a prime.

It is a Duffinian number.

31717 is an undulating number in base 14.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 31694 and 31703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31727) 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 7 ways as a sum of consecutive naturals, for example, 63 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

2³¹⁷¹⁷ is an apocalyptic number.

It is an amenable number.

31717 is a deficient number, since it is larger than the sum of its proper divisors (6299).

31717 is a wasteful number, since it uses less digits than its factorization.

31717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 147, while the sum is 19.

The square root of 31717 is about 178.0926725051. The cubic root of 31717 is about 31.6541532584.

It can be divided in two parts, 3 and 1717, that multiplied together give a triangular number (5151 = T₁₀₁).

The spelling of 31717 in words is "thirty-one thousand, seven hundred seventeen".