85175137 has 2 divisors, whose sum is σ = 85175138. Its totient is φ = 85175136.

The previous prime is 85175099. The next prime is 85175171. The reversal of 85175137 is 73157158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84621601 + 553536 = 9199^2 + 744^2 .

It is a cyclic number.

It is not a de Polignac number, because 85175137 - 2¹⁹ = 84650849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85175096 and 85175105.

It is not a weakly prime, because it can be changed into another prime (85175437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42587568 + 42587569.

It is an arithmetic number, because the mean of its divisors is an integer number (42587569).

Almost surely, 2^85175137 is an apocalyptic number.

It is an amenable number.

85175137 is a deficient number, since it is larger than the sum of its proper divisors (1).

85175137 is an equidigital number, since it uses as much as digits as its factorization.

85175137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29400, while the sum is 37.

The square root of 85175137 is about 9229.0377071502. The cubic root of 85175137 is about 439.9847394845.

The spelling of 85175137 in words is "eighty-five million, one hundred seventy-five thousand, one hundred thirty-seven".