972401 has 8 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 905040.

The previous prime is 972373. The next prime is 972403. The reversal of 972401 is 104279.

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 972401 - 2⁶ = 972337 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972401.

It is not an unprimeable number, because it can be changed into a prime (972403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740 + ... + 1578.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2⁹⁷²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

972401 is a deficient number, since it is larger than the sum of its proper divisors (69199).

972401 is a wasteful number, since it uses less digits than its factorization.

972401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 972401 is about 986.1039498958. The cubic root of 972401 is about 99.0714377424.

The spelling of 972401 in words is "nine hundred seventy-two thousand, four hundred one".