972368 has 10 divisors (see below), whose sum is σ = 1883994. Its totient is φ = 486176.

The previous prime is 972353. The next prime is 972373. The reversal of 972368 is 863279.

972368 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., 937024 + 35344 = 968^2 + 188^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972368.

It is an unprimeable number.

972368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30371 + ... + 30402.

2⁹⁷²³⁶⁸ is an apocalyptic number.

It is an amenable number.

972368 is a deficient number, since it is larger than the sum of its proper divisors (911626).

972368 is a wasteful number, since it uses less digits than its factorization.

972368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60781 (or 60775 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 972368 is about 986.0872172379. The cubic root of 972368 is about 99.0703170133.

The spelling of 972368 in words is "nine hundred seventy-two thousand, three hundred sixty-eight".