82036957 has 2 divisors, whose sum is σ = 82036958. Its totient is φ = 82036956.

The previous prime is 82036931. The next prime is 82036967. The reversal of 82036957 is 75963028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81613156 + 423801 = 9034^2 + 651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82036957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82036967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41018478 + 41018479.

It is an arithmetic number, because the mean of its divisors is an integer number (41018479).

Almost surely, 2^82036957 is an apocalyptic number.

It is an amenable number.

82036957 is a deficient number, since it is larger than the sum of its proper divisors (1).

82036957 is an equidigital number, since it uses as much as digits as its factorization.

82036957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 82036957 is about 9057.4255172207. The cubic root of 82036957 is about 434.5134066611.

The spelling of 82036957 in words is "eighty-two million, thirty-six thousand, nine hundred fifty-seven".