972801 has 6 divisors (see below), whose sum is σ = 1405170. Its totient is φ = 648528.

The previous prime is 972799. The next prime is 972823. The reversal of 972801 is 108279.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 119025 = 924^2 + 345^2 .

It is not a de Polignac number, because 972801 - 2¹ = 972799 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972801.

It is not an unprimeable number, because it can be changed into a prime (972001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54036 + ... + 54053.

It is an arithmetic number, because the mean of its divisors is an integer number (234195).

It is a Proth number, since it is equal to 475 ⋅ 2¹¹ + 1 and 475 < 2¹¹.

2⁹⁷²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

972801 is a deficient number, since it is larger than the sum of its proper divisors (432369).

972801 is a wasteful number, since it uses less digits than its factorization.

972801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108095 (or 108092 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 972801 is about 986.3067474168. The cubic root of 972801 is about 99.0850203222.

The spelling of 972801 in words is "nine hundred seventy-two thousand, eight hundred one".