972968 has 8 divisors (see below), whose sum is σ = 1824330. Its totient is φ = 486480.

The previous prime is 972967. The next prime is 972977. The reversal of 972968 is 869279.

972968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 925444 + 47524 = 962^2 + 218^2 .

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (972967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60803 + ... + 60818.

2⁹⁷²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

972968 is a deficient number, since it is larger than the sum of its proper divisors (851362).

972968 is a wasteful number, since it uses less digits than its factorization.

972968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121627 (or 121623 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 972968 is about 986.3914030445. The cubic root of 972968 is about 99.0906899476.

The spelling of 972968 in words is "nine hundred seventy-two thousand, nine hundred sixty-eight".