82905337 has 2 divisors, whose sum is σ = 82905338. Its totient is φ = 82905336.

The previous prime is 82905293. The next prime is 82905353. The reversal of 82905337 is 73350928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77633721 + 5271616 = 8811^2 + 2296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82905337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82905296 and 82905305.

It is not a weakly prime, because it can be changed into another prime (82905367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41452668 + 41452669.

It is an arithmetic number, because the mean of its divisors is an integer number (41452669).

Almost surely, 2^82905337 is an apocalyptic number.

It is an amenable number.

82905337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82905337 is an equidigital number, since it uses as much as digits as its factorization.

82905337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 82905337 is about 9105.2367898918. The cubic root of 82905337 is about 436.0411700455.

The spelling of 82905337 in words is "eighty-two million, nine hundred five thousand, three hundred thirty-seven".