82921037 has 2 divisors, whose sum is σ = 82921038. Its totient is φ = 82921036.

The previous prime is 82920977. The next prime is 82921061. The reversal of 82921037 is 73012928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72352036 + 10569001 = 8506^2 + 3251^2 .

It is a cyclic number.

It is not a de Polignac number, because 82921037 - 2¹² = 82916941 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82920994 and 82921012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82921337) 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, 41460518 + 41460519.

It is an arithmetic number, because the mean of its divisors is an integer number (41460519).

Almost surely, 2^82921037 is an apocalyptic number.

It is an amenable number.

82921037 is a deficient number, since it is larger than the sum of its proper divisors (1).

82921037 is an equidigital number, since it uses as much as digits as its factorization.

82921037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 82921037 is about 9106.0988903042. The cubic root of 82921037 is about 436.0686930596.

The spelling of 82921037 in words is "eighty-two million, nine hundred twenty-one thousand, thirty-seven".