85338617 has 32 divisors (see below), whose sum is σ = 108987648. Its totient is φ = 65028096.

The previous prime is 85338601. The next prime is 85338641. The reversal of 85338617 is 71683358.

It is not a de Polignac number, because 85338617 - 2⁴ = 85338601 is a prime.

It is a super-3 number, since 3×85338617³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85338667) 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, 442073 + ... + 442265.

It is an arithmetic number, because the mean of its divisors is an integer number (3405864).

Almost surely, 2^85338617 is an apocalyptic number.

It is an amenable number.

85338617 is a deficient number, since it is larger than the sum of its proper divisors (23649031).

85338617 is a wasteful number, since it uses less digits than its factorization.

85338617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its digits is 120960, while the sum is 41.

The square root of 85338617 is about 9237.8902894546. The cubic root of 85338617 is about 440.2660529374.

The spelling of 85338617 in words is "eighty-five million, three hundred thirty-eight thousand, six hundred seventeen".