917 has 4 divisors (see below), whose sum is σ = 1056. Its totient is φ = 780.

The previous prime is 911. The next prime is 919. The reversal of 917 is 719.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 917 - 2⁶ = 853 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 4 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 895 and 904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (911) 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, 59 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (264).

It is an amenable number.

917 is a deficient number, since it is larger than the sum of its proper divisors (139).

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

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

The sum of its prime factors is 138.

The product of its digits is 63, while the sum is 17.

The square root of 917 is about 30.2820078595. The cubic root of 917 is about 9.7153051328.

Subtracting from 917 its sum of digits (17), we obtain a square (900 = 30²).

It can be divided in two parts, 9 and 17, that multiplied together give a triangular number (153 = T₁₇).

The spelling of 917 in words is "nine hundred seventeen", and thus it is an aban number and an oban number.