91617 has 4 divisors (see below), whose sum is σ = 122160. Its totient is φ = 61076.

The previous prime is 91591. The next prime is 91621. The reversal of 91617 is 71619.

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, and also an emirpimes, since its reverse is a distinct semiprime: 71619 = 3 ⋅23873.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91617 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91617.

It is not an unprimeable number, because it can be changed into a prime (90617) 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, 15267 + ... + 15272.

It is an arithmetic number, because the mean of its divisors is an integer number (30540).

2⁹¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

91617 is a deficient number, since it is larger than the sum of its proper divisors (30543).

91617 is a wasteful number, since it uses less digits than its factorization.

91617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30542.

The product of its digits is 378, while the sum is 24.

The square root of 91617 is about 302.6830024960. The cubic root of 91617 is about 45.0808423344.

The spelling of 91617 in words is "ninety-one thousand, six hundred seventeen".