82935101 has 2 divisors, whose sum is σ = 82935102. Its totient is φ = 82935100.

The previous prime is 82935077. The next prime is 82935109. The reversal of 82935101 is 10153928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67732900 + 15202201 = 8230^2 + 3899^2 .

It is a cyclic number.

It is not a de Polignac number, because 82935101 - 2⁶ = 82935037 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82935109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41467550 + 41467551.

It is an arithmetic number, because the mean of its divisors is an integer number (41467551).

Almost surely, 2^82935101 is an apocalyptic number.

It is an amenable number.

82935101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82935101 is an equidigital number, since it uses as much as digits as its factorization.

82935101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 82935101 is about 9106.8710872615. The cubic root of 82935101 is about 436.0933451207.

The spelling of 82935101 in words is "eighty-two million, nine hundred thirty-five thousand, one hundred one".