82605233 has 2 divisors, whose sum is σ = 82605234. Its totient is φ = 82605232.

The previous prime is 82605223. The next prime is 82605239. The reversal of 82605233 is 33250628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72726784 + 9878449 = 8528^2 + 3143^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82605233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82605196 and 82605205.

It is not a weakly prime, because it can be changed into another prime (82605239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41302616 + 41302617.

It is an arithmetic number, because the mean of its divisors is an integer number (41302617).

Almost surely, 2^82605233 is an apocalyptic number.

It is an amenable number.

82605233 is a deficient number, since it is larger than the sum of its proper divisors (1).

82605233 is an equidigital number, since it uses as much as digits as its factorization.

82605233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 82605233 is about 9088.7421021833. The cubic root of 82605233 is about 435.5144009337.

The spelling of 82605233 in words is "eighty-two million, six hundred five thousand, two hundred thirty-three".