972901 has 2 divisors, whose sum is σ = 972902. Its totient is φ = 972900.

The previous prime is 972899. The next prime is 972941. The reversal of 972901 is 109279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 748225 + 224676 = 865^2 + 474^2 .

It is an emirp because it is prime and its reverse (109279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972901 - 2¹ = 972899 is a prime.

Together with 972899, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₆₅₇₃ and since 972901 and 76573 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 972901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972941) 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 as a sum of consecutive naturals, namely, 486450 + 486451.

It is an arithmetic number, because the mean of its divisors is an integer number (486451).

2⁹⁷²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

972901 is a deficient number, since it is larger than the sum of its proper divisors (1).

972901 is an equidigital number, since it uses as much as digits as its factorization.

972901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 972901 is about 986.3574402822. The cubic root of 972901 is about 99.0884153854.

The spelling of 972901 in words is "nine hundred seventy-two thousand, nine hundred one".