85507205 has 24 divisors (see below), whose sum is σ = 119788920. Its totient is φ = 58423680.

The previous prime is 85507199. The next prime is 85507243. The reversal of 85507205 is 50270558.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 85507009 = 14^2 + 9247^2 .

It is not a de Polignac number, because 85507205 - 2⁶ = 85507141 is a prime.

It is a super-2 number, since 2×85507205² = 14622964213824050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102731 + ... + 103559.

It is an arithmetic number, because the mean of its divisors is an integer number (4991205).

Almost surely, 2^85507205 is an apocalyptic number.

It is an amenable number.

85507205 is a deficient number, since it is larger than the sum of its proper divisors (34281715).

85507205 is a wasteful number, since it uses less digits than its factorization.

85507205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 85507205 is about 9247.0105980257. The cubic root of 85507205 is about 440.5557801162. Note that the first 3 decimals are identical.

The spelling of 85507205 in words is "eighty-five million, five hundred seven thousand, two hundred five".