85618009 has 9 divisors (see below), whose sum is σ = 90547317. Its totient is φ = 80945244.

The previous prime is 85617991. The next prime is 85618019. The reversal of 85618009 is 90081658.

The square root of 85618009 is 9253.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-85618009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85618019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175564 + ... + 176050.

It is an arithmetic number, because the mean of its divisors is an integer number (10060813).

Almost surely, 2^85618009 is an apocalyptic number.

85618009 is the 9253-rd square number.

85618009 is the 4627-th centered octagonal number.

It is an amenable number.

85618009 is a deficient number, since it is larger than the sum of its proper divisors (4929308).

85618009 is an frugal number, since it uses more digits than its factorization.

85618009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The cubic root of 85618009 is about 440.7459951674.

The spelling of 85618009 in words is "eighty-five million, six hundred eighteen thousand, nine".