82356101 has 2 divisors, whose sum is σ = 82356102. Its totient is φ = 82356100.

The previous prime is 82356097. The next prime is 82356103. The reversal of 82356101 is 10165328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69388900 + 12967201 = 8330^2 + 3601^2 .

It is a cyclic number.

It is not a de Polignac number, because 82356101 - 2² = 82356097 is a prime.

Together with 82356103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82356103) 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, 41178050 + 41178051.

It is an arithmetic number, because the mean of its divisors is an integer number (41178051).

Almost surely, 2^82356101 is an apocalyptic number.

It is an amenable number.

82356101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82356101 is an equidigital number, since it uses as much as digits as its factorization.

82356101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 82356101 is about 9075.0262258574. The cubic root of 82356101 is about 435.0761323567.

The spelling of 82356101 in words is "eighty-two million, three hundred fifty-six thousand, one hundred one".