971617 has 4 divisors (see below), whose sum is σ = 976896. Its totient is φ = 966340.

The previous prime is 971591. The next prime is 971639. The reversal of 971617 is 716179.

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: 716179 = 179 ⋅4001.

It is a cyclic number.

It is not a de Polignac number, because 971617 - 2¹¹ = 969569 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (971917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2353 + ... + 2734.

It is an arithmetic number, because the mean of its divisors is an integer number (244224).

2⁹⁷¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

971617 is a deficient number, since it is larger than the sum of its proper divisors (5279).

971617 is a wasteful number, since it uses less digits than its factorization.

971617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278.

The product of its digits is 2646, while the sum is 31.

The square root of 971617 is about 985.7063457237. The cubic root of 971617 is about 99.0448050772.

The spelling of 971617 in words is "nine hundred seventy-one thousand, six hundred seventeen".