972301 has 8 divisors (see below), whose sum is σ = 1069344. Its totient is φ = 876720.

The previous prime is 972277. The next prime is 972313. The reversal of 972301 is 103279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972301 - 2¹⁹ = 448013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972001) 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 7 ways as a sum of consecutive naturals, for example, 1446 + ... + 2008.

It is an arithmetic number, because the mean of its divisors is an integer number (133668).

2⁹⁷²³⁰¹ is an apocalyptic number.

It is an amenable number.

972301 is a deficient number, since it is larger than the sum of its proper divisors (97043).

972301 is a wasteful number, since it uses less digits than its factorization.

972301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 972301 is about 986.0532439985. The cubic root of 972301 is about 99.0680415155.

Subtracting from 972301 its sum of digits (22), we obtain a palindrome (972279).

The spelling of 972301 in words is "nine hundred seventy-two thousand, three hundred one".