972616 has 8 divisors (see below), whose sum is σ = 1823670. Its totient is φ = 486304.

The previous prime is 972613. The next prime is 972623. The reversal of 972616 is 616279.

It can be written as a sum of positive squares in only one way, i.e., 910116 + 62500 = 954^2 + 250^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (972611) 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 as a sum of consecutive naturals, namely, 60781 + ... + 60796.

2⁹⁷²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

972616 is a deficient number, since it is larger than the sum of its proper divisors (851054).

972616 is a wasteful number, since it uses less digits than its factorization.

972616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121583 (or 121579 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 972616 is about 986.2129587467. The cubic root of 972616 is about 99.0787388419.

The spelling of 972616 in words is "nine hundred seventy-two thousand, six hundred sixteen".