972833 has 2 divisors, whose sum is σ = 972834. Its totient is φ = 972832.

The previous prime is 972827. The next prime is 972847. The reversal of 972833 is 338279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 877969 + 94864 = 937^2 + 308^2 .

It is an emirp because it is prime and its reverse (338279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972833 - 2⁸ = 972577 is a prime.

It is equal to p₇₆₅₆₈ and since 972833 and 76568 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 972833.

It is not a weakly prime, because it can be changed into another prime (972823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486416 + 486417.

It is an arithmetic number, because the mean of its divisors is an integer number (486417).

2⁹⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

972833 is a deficient number, since it is larger than the sum of its proper divisors (1).

972833 is an equidigital number, since it uses as much as digits as its factorization.

972833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 972833 is about 986.3229694172. The cubic root of 972833 is about 99.0861067677.

The spelling of 972833 in words is "nine hundred seventy-two thousand, eight hundred thirty-three".