85000037 has 2 divisors, whose sum is σ = 85000038. Its totient is φ = 85000036.

The previous prime is 85000021. The next prime is 85000043. The reversal of 85000037 is 73000058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82609921 + 2390116 = 9089^2 + 1546^2 .

It is a cyclic number.

It is not a de Polignac number, because 85000037 - 2⁴ = 85000021 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 84999976 and 85000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42500018 + 42500019.

It is an arithmetic number, because the mean of its divisors is an integer number (42500019).

Almost surely, 2^85000037 is an apocalyptic number.

It is an amenable number.

85000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

85000037 is an equidigital number, since it uses as much as digits as its factorization.

85000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 85000037 is about 9219.5464638994. The cubic root of 85000037 is about 439.6830310129.

The spelling of 85000037 in words is "eighty-five million, thirty-seven", and thus it is an aban number and an uban number.