82180037 has 2 divisors, whose sum is σ = 82180038. Its totient is φ = 82180036.

The previous prime is 82180027. The next prime is 82180061. The reversal of 82180037 is 73008128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74063236 + 8116801 = 8606^2 + 2849^2 .

It is a cyclic number.

It is not a de Polignac number, because 82180037 - 2⁸ = 82179781 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82179991 and 82180009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82180027) 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, 41090018 + 41090019.

It is an arithmetic number, because the mean of its divisors is an integer number (41090019).

Almost surely, 2^82180037 is an apocalyptic number.

It is an amenable number.

82180037 is a deficient number, since it is larger than the sum of its proper divisors (1).

82180037 is an equidigital number, since it uses as much as digits as its factorization.

82180037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 82180037 is about 9065.3205679667. The cubic root of 82180037 is about 434.7658703961.

The spelling of 82180037 in words is "eighty-two million, one hundred eighty thousand, thirty-seven".