85505175 has 54 divisors (see below), whose sum is σ = 175782152. Its totient is φ = 38920320.

The previous prime is 85505153. The next prime is 85505197. The reversal of 85505175 is 57150558.

85505175 is a `hidden beast` number, since 85 + 505 + 1 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (85505153) and next prime (85505197).

It is not a de Polignac number, because 85505175 - 2⁵ = 85505143 is a prime.

It is a super-2 number, since 2×85505175² = 14622269903561250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 53 ways as a sum of consecutive naturals, for example, 366859 + ... + 367091.

Almost surely, 2^85505175 is an apocalyptic number.

85505175 is an abundant number, since it is smaller than the sum of its proper divisors (90276977).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85505175 is a wasteful number, since it uses less digits than its factorization.

85505175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The square root of 85505175 is about 9246.9008321707. The cubic root of 85505175 is about 440.5522937226.

The spelling of 85505175 in words is "eighty-five million, five hundred five thousand, one hundred seventy-five".