61317 has 10 divisors (see below), whose sum is σ = 91718. Its totient is φ = 40824.

The previous prime is 61297. The next prime is 61331. The reversal of 61317 is 71316.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 6561 = 234^2 + 81^2 .

It is not a de Polignac number, because 61317 - 2⁶ = 61253 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 298 + ... + 459.

2⁶¹³¹⁷ is an apocalyptic number.

It is an amenable number.

61317 is a deficient number, since it is larger than the sum of its proper divisors (30401).

61317 is an equidigital number, since it uses as much as digits as its factorization.

61317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 61317 is about 247.6226968596. The cubic root of 61317 is about 39.4330436461.

Subtracting 61317 from its reverse (71316), we obtain a palindrome (9999).

It can be divided in two parts, 613 and 17, that added together give a triangular number (630 = T₃₅).

The spelling of 61317 in words is "sixty-one thousand, three hundred seventeen".