31417 has 4 divisors (see below), whose sum is σ = 31860. Its totient is φ = 30976.

The previous prime is 31397. The next prime is 31469. The reversal of 31417 is 71413.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 22201 = 96^2 + 149^2 .

It is a 3-Lehmer number, since φ(31417) divides (31417-1)³.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31417 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 31417.

It is not an unprimeable number, because it can be changed into a prime (31477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (7965).

It is a Poulet number, since it divides 2³¹⁴¹⁶-1.

2³¹⁴¹⁷ is an apocalyptic number.

31417 is the 89-th decagonal number.

It is an amenable number.

31417 is a deficient number, since it is larger than the sum of its proper divisors (443).

31417 is an equidigital number, since it uses as much as digits as its factorization.

31417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its digits is 84, while the sum is 16.

The square root of 31417 is about 177.2484132510. The cubic root of 31417 is about 31.5540350792.

The spelling of 31417 in words is "thirty-one thousand, four hundred seventeen".