972817 has 4 divisors (see below), whose sum is σ = 981540. Its totient is φ = 964096.

The previous prime is 972799. The next prime is 972823. The reversal of 972817 is 718279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 718279 = 41 ⋅17519.

It can be written as a sum of positive squares in 2 ways, for example, as 96721 + 876096 = 311^2 + 936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972817 is a prime.

It is a Duffinian number.

972817 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972827) 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, 4192 + ... + 4417.

It is an arithmetic number, because the mean of its divisors is an integer number (245385).

2⁹⁷²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

972817 is a deficient number, since it is larger than the sum of its proper divisors (8723).

972817 is a wasteful number, since it uses less digits than its factorization.

972817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722.

The product of its digits is 7056, while the sum is 34.

The square root of 972817 is about 986.3148584504. The cubic root of 972817 is about 99.0855635480.

The spelling of 972817 in words is "nine hundred seventy-two thousand, eight hundred seventeen".