75317 has 8 divisors (see below), whose sum is σ = 84672. Its totient is φ = 66400.

The previous prime is 75307. The next prime is 75323. The reversal of 75317 is 71357.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 75317 - 2⁶ = 75253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75292 and 75301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁷⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

75317 is a deficient number, since it is larger than the sum of its proper divisors (9355).

75317 is a wasteful number, since it uses less digits than its factorization.

75317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219.

The product of its digits is 735, while the sum is 23.

The square root of 75317 is about 274.4394286541. The cubic root of 75317 is about 42.2309648973.

The spelling of 75317 in words is "seventy-five thousand, three hundred seventeen".