45317 has 2 divisors, whose sum is σ = 45318. Its totient is φ = 45316.

The previous prime is 45307. The next prime is 45319. The reversal of 45317 is 71354.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 8836 = 191^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 45317 - 2⁸ = 45061 is a prime.

Together with 45319, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22658 + 22659.

It is an arithmetic number, because the mean of its divisors is an integer number (22659).

2⁴⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

45317 is a deficient number, since it is larger than the sum of its proper divisors (1).

45317 is an equidigital number, since it uses as much as digits as its factorization.

45317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 45317 is about 212.8778992756. The cubic root of 45317 is about 35.6522588131.

The spelling of 45317 in words is "forty-five thousand, three hundred seventeen".