85487257 has 2 divisors, whose sum is σ = 85487258. Its totient is φ = 85487256.

The previous prime is 85487239. The next prime is 85487263. The reversal of 85487257 is 75278458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85451536 + 35721 = 9244^2 + 189^2 .

It is a cyclic number.

It is not a de Polignac number, because 85487257 - 2¹⁵ = 85454489 is a prime.

It is a super-2 number, since 2×85487257² = 14616142218768098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85487287) 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, 42743628 + 42743629.

It is an arithmetic number, because the mean of its divisors is an integer number (42743629).

Almost surely, 2^85487257 is an apocalyptic number.

It is an amenable number.

85487257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85487257 is an equidigital number, since it uses as much as digits as its factorization.

85487257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 627200, while the sum is 46.

The square root of 85487257 is about 9245.9319162538. The cubic root of 85487257 is about 440.5215183243.

The spelling of 85487257 in words is "eighty-five million, four hundred eighty-seven thousand, two hundred fifty-seven".