85564409 has 8 divisors (see below), whose sum is σ = 98024640. Its totient is φ = 73163376.

The previous prime is 85564403. The next prime is 85564421. The reversal of 85564409 is 90446558.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85564409 - 2⁸ = 85564153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85564403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11654 + ... + 17519.

It is an arithmetic number, because the mean of its divisors is an integer number (12253080).

Almost surely, 2^85564409 is an apocalyptic number.

It is an amenable number.

85564409 is a deficient number, since it is larger than the sum of its proper divisors (12460231).

85564409 is a wasteful number, since it uses less digits than its factorization.

85564409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29599.

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 85564409 is about 9250.1031886136. The cubic root of 85564409 is about 440.6540016053.

The spelling of 85564409 in words is "eighty-five million, five hundred sixty-four thousand, four hundred nine".