82757033 has 2 divisors, whose sum is σ = 82757034. Its totient is φ = 82757032.

The previous prime is 82756957. The next prime is 82757047. The reversal of 82757033 is 33075728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51093904 + 31663129 = 7148^2 + 5627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82757033 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 = 82756984 and 82757002.

It is not a weakly prime, because it can be changed into another prime (82757093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41378516 + 41378517.

It is an arithmetic number, because the mean of its divisors is an integer number (41378517).

Almost surely, 2^82757033 is an apocalyptic number.

It is an amenable number.

82757033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82757033 is an equidigital number, since it uses as much as digits as its factorization.

82757033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 82757033 is about 9097.0892597578. The cubic root of 82757033 is about 435.7810129003.

The spelling of 82757033 in words is "eighty-two million, seven hundred fifty-seven thousand, thirty-three".