82088033 has 2 divisors, whose sum is σ = 82088034. Its totient is φ = 82088032.

The previous prime is 82088023. The next prime is 82088047. The reversal of 82088033 is 33088028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73839649 + 8248384 = 8593^2 + 2872^2 .

It is a cyclic number.

It is not a de Polignac number, because 82088033 - 2¹⁸ = 81825889 is a prime.

It is not a weakly prime, because it can be changed into another prime (82088003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41044016 + 41044017.

It is an arithmetic number, because the mean of its divisors is an integer number (41044017).

Almost surely, 2^82088033 is an apocalyptic number.

It is an amenable number.

82088033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82088033 is an equidigital number, since it uses as much as digits as its factorization.

82088033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 82088033 is about 9060.2446434961. The cubic root of 82088033 is about 434.6035635991.

The spelling of 82088033 in words is "eighty-two million, eighty-eight thousand, thirty-three".