82422113 has 2 divisors, whose sum is σ = 82422114. Its totient is φ = 82422112.

The previous prime is 82422107. The next prime is 82422139. The reversal of 82422113 is 31122428.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66961489 + 15460624 = 8183^2 + 3932^2 .

It is a cyclic number.

It is not a de Polignac number, because 82422113 - 2⁴ = 82422097 is a prime.

It is a super-2 number, since 2×82422113² = 13586809422769538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4802522 and since 82422113 and 4802522 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82422173) 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, 41211056 + 41211057.

It is an arithmetic number, because the mean of its divisors is an integer number (41211057).

Almost surely, 2^82422113 is an apocalyptic number.

It is an amenable number.

82422113 is a deficient number, since it is larger than the sum of its proper divisors (1).

82422113 is an equidigital number, since it uses as much as digits as its factorization.

82422113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

The square root of 82422113 is about 9078.6625116258. The cubic root of 82422113 is about 435.1923454654.

The spelling of 82422113 in words is "eighty-two million, four hundred twenty-two thousand, one hundred thirteen".