82713101 has 2 divisors, whose sum is σ = 82713102. Its totient is φ = 82713100.

The previous prime is 82713097. The next prime is 82713107. The reversal of 82713101 is 10131728.

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., 81090025 + 1623076 = 9005^2 + 1274^2 .

It is a cyclic number.

It is not a de Polignac number, because 82713101 - 2² = 82713097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82713107) 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, 41356550 + 41356551.

It is an arithmetic number, because the mean of its divisors is an integer number (41356551).

Almost surely, 2^82713101 is an apocalyptic number.

It is an amenable number.

82713101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82713101 is an equidigital number, since it uses as much as digits as its factorization.

82713101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 82713101 is about 9094.6743207220. The cubic root of 82713101 is about 435.7038870479.

Adding to 82713101 its reverse (10131728), we get a palindrome (92844829).

The spelling of 82713101 in words is "eighty-two million, seven hundred thirteen thousand, one hundred one".