85605345 has 48 divisors (see below), whose sum is σ = 170277120. Its totient is φ = 38973312.

The previous prime is 85605337. The next prime is 85605367. The reversal of 85605345 is 54350658.

85605345 is a `hidden beast` number, since 8 + 5 + 605 + 3 + 45 = 666.

It is not a de Polignac number, because 85605345 - 2³ = 85605337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112707 + ... + 113463.

It is an arithmetic number, because the mean of its divisors is an integer number (3547440).

Almost surely, 2^85605345 is an apocalyptic number.

It is an amenable number.

85605345 is a deficient number, since it is larger than the sum of its proper divisors (84671775).

85605345 is a wasteful number, since it uses less digits than its factorization.

85605345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85605345 is about 9252.3156560939. The cubic root of 85605345 is about 440.7242634369.

The spelling of 85605345 in words is "eighty-five million, six hundred five thousand, three hundred forty-five".