85738565 has 32 divisors (see below), whose sum is σ = 120092544. Its totient is φ = 58071040.

The previous prime is 85738559. The next prime is 85738567. The reversal of 85738565 is 56583758.

It is not a de Polignac number, because 85738565 - 2⁶ = 85738501 is a prime.

It is a super-2 number, since 2×85738565² = 14702203056518450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85738567) 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, 99617 + ... + 100473.

It is an arithmetic number, because the mean of its divisors is an integer number (3752892).

Almost surely, 2^85738565 is an apocalyptic number.

85738565 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85738565 is a deficient number, since it is larger than the sum of its proper divisors (34353979).

85738565 is a wasteful number, since it uses less digits than its factorization.

85738565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997.

The product of its digits is 1008000, while the sum is 47.

The square root of 85738565 is about 9259.5121361765. The cubic root of 85738565 is about 440.9527649630.

The spelling of 85738565 in words is "eighty-five million, seven hundred thirty-eight thousand, five hundred sixty-five".