85145769 has 32 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 53307072.

The previous prime is 85145743. The next prime is 85145771. The reversal of 85145769 is 96754158.

It is not a de Polignac number, because 85145769 - 2⁵ = 85145737 is a prime.

It is a super-2 number, since 2×85145769² = 14499603957202722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85145779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27502 + ... + 30440.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^85145769 is an apocalyptic number.

It is an amenable number.

85145769 is a deficient number, since it is larger than the sum of its proper divisors (48918231).

85145769 is a wasteful number, since it uses less digits than its factorization.

85145769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3008 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85145769 is about 9227.4465048571. The cubic root of 85145769 is about 439.9341654255.

The spelling of 85145769 in words is "eighty-five million, one hundred forty-five thousand, seven hundred sixty-nine".