82501037 has 2 divisors, whose sum is σ = 82501038. Its totient is φ = 82501036.

The previous prime is 82501007. The next prime is 82501063. The reversal of 82501037 is 73010528.

It is an a-pointer prime, because the next prime (82501063) can be obtained adding 82501037 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77774761 + 4726276 = 8819^2 + 2174^2 .

It is a cyclic number.

It is not a de Polignac number, because 82501037 - 2⁶ = 82500973 is a prime.

It is a super-2 number, since 2×82501037² = 13612842212150738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82500997 and 82501015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82501007) 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, 41250518 + 41250519.

It is an arithmetic number, because the mean of its divisors is an integer number (41250519).

Almost surely, 2^82501037 is an apocalyptic number.

It is an amenable number.

82501037 is a deficient number, since it is larger than the sum of its proper divisors (1).

82501037 is an equidigital number, since it uses as much as digits as its factorization.

82501037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 82501037 is about 9083.0081470843. The cubic root of 82501037 is about 435.3312085372.

The spelling of 82501037 in words is "eighty-two million, five hundred one thousand, thirty-seven".