82085951 has 2 divisors, whose sum is σ = 82085952. Its totient is φ = 82085950.

The previous prime is 82085881. The next prime is 82085957. The reversal of 82085951 is 15958028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82085951 - 2¹⁰ = 82084927 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 (82085957) 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, 41042975 + 41042976.

It is an arithmetic number, because the mean of its divisors is an integer number (41042976).

Almost surely, 2^82085951 is an apocalyptic number.

82085951 is a deficient number, since it is larger than the sum of its proper divisors (1).

82085951 is an equidigital number, since it uses as much as digits as its factorization.

82085951 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 82085951 is about 9060.1297452078. The cubic root of 82085951 is about 434.5998892825.

The spelling of 82085951 in words is "eighty-two million, eighty-five thousand, nine hundred fifty-one".