972417 has 16 divisors (see below), whose sum is σ = 1434240. Its totient is φ = 582912.

The previous prime is 972409. The next prime is 972427. The reversal of 972417 is 714279.

972417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972417 - 2³ = 972409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (89640).

2⁹⁷²⁴¹⁷ is an apocalyptic number.

It is an amenable number.

972417 is a deficient number, since it is larger than the sum of its proper divisors (461823).

972417 is a wasteful number, since it uses less digits than its factorization.

972417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its digits is 3528, while the sum is 30.

The square root of 972417 is about 986.1120625974. The cubic root of 972417 is about 99.0719811171.

The spelling of 972417 in words is "nine hundred seventy-two thousand, four hundred seventeen".