82921337 has 2 divisors, whose sum is σ = 82921338. Its totient is φ = 82921336.

The previous prime is 82921259. The next prime is 82921351. The reversal of 82921337 is 73312928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46185616 + 36735721 = 6796^2 + 6061^2 .

It is a cyclic number.

It is not a de Polignac number, because 82921337 - 2²⁴ = 66144121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82921297 and 82921306.

It is not a weakly prime, because it can be changed into another prime (82921037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41460668 + 41460669.

It is an arithmetic number, because the mean of its divisors is an integer number (41460669).

Almost surely, 2^82921337 is an apocalyptic number.

It is an amenable number.

82921337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82921337 is an equidigital number, since it uses as much as digits as its factorization.

82921337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 82921337 is about 9106.1153627658. The cubic root of 82921337 is about 436.0692189432.

The spelling of 82921337 in words is "eighty-two million, nine hundred twenty-one thousand, three hundred thirty-seven".