972116 has 12 divisors (see below), whose sum is σ = 1790880. Its totient is φ = 460440.

The previous prime is 972113. The next prime is 972119. The reversal of 972116 is 611279.

It is an interprime number because it is at equal distance from previous prime (972113) and next prime (972119).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972113) 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, 6320 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (149240).

2⁹⁷²¹¹⁶ is an apocalyptic number.

It is an amenable number.

972116 is a deficient number, since it is larger than the sum of its proper divisors (818764).

972116 is a wasteful number, since it uses less digits than its factorization.

972116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814 (or 12812 counting only the distinct ones).

The product of its digits is 756, while the sum is 26.

The square root of 972116 is about 985.9594312141. The cubic root of 972116 is about 99.0617578817.

The spelling of 972116 in words is "nine hundred seventy-two thousand, one hundred sixteen".