972835033 has 2 divisors, whose sum is σ = 972835034. Its totient is φ = 972835032.

The previous prime is 972835027. The next prime is 972835037. The reversal of 972835033 is 330538279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 43072969 = 30492^2 + 6563^2 .

It is a cyclic number.

It is not a de Polignac number, because 972835033 - 2⁵ = 972835001 is a prime.

It is a super-2 number, since 2×972835033² = 1892816002864222178, which contains 22 as substring.

It is equal to p_49535824 and since 972835033 and 49535824 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (972835037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486417516 + 486417517.

It is an arithmetic number, because the mean of its divisors is an integer number (486417517).

Almost surely, 2^972835033 is an apocalyptic number.

It is an amenable number.

972835033 is a deficient number, since it is larger than the sum of its proper divisors (1).

972835033 is an equidigital number, since it uses as much as digits as its factorization.

972835033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 972835033 is about 31190.3035092639. The cubic root of 972835033 is about 990.8617579018.

The spelling of 972835033 in words is "nine hundred seventy-two million, eight hundred thirty-five thousand, thirty-three".