82042757 has 2 divisors, whose sum is σ = 82042758. Its totient is φ = 82042756.

The previous prime is 82042739. The next prime is 82042759. The reversal of 82042757 is 75724028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77986561 + 4056196 = 8831^2 + 2014^2 .

It is a cyclic number.

It is not a de Polignac number, because 82042757 - 2⁸ = 82042501 is a prime.

It is a super-2 number, since 2×82042757² = 13462027952322098, which contains 22 as substring.

Together with 82042759, 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 (82042759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41021378 + 41021379.

It is an arithmetic number, because the mean of its divisors is an integer number (41021379).

Almost surely, 2^82042757 is an apocalyptic number.

It is an amenable number.

82042757 is a deficient number, since it is larger than the sum of its proper divisors (1).

82042757 is an equidigital number, since it uses as much as digits as its factorization.

82042757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 82042757 is about 9057.7456908438. The cubic root of 82042757 is about 434.5236464297.

The spelling of 82042757 in words is "eighty-two million, forty-two thousand, seven hundred fifty-seven".