97617 has 8 divisors (see below), whose sum is σ = 140224. Its totient is φ = 60048.

The previous prime is 97613. The next prime is 97649. The reversal of 97617 is 71679.

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

It is not a de Polignac number, because 97617 - 2² = 97613 is a prime.

It is a Duffinian number.

97617 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97617.

It is not an unprimeable number, because it can be changed into a prime (97613) 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, 1213 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (17528).

2⁹⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

97617 is a deficient number, since it is larger than the sum of its proper divisors (42607).

97617 is a wasteful number, since it uses less digits than its factorization.

97617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519.

The product of its digits is 2646, while the sum is 30.

The square root of 97617 is about 312.4371936886. The cubic root of 97617 is about 46.0442233815.

It can be divided in two parts, 9 and 7617, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 97617 in words is "ninety-seven thousand, six hundred seventeen".