85564301 has 16 divisors (see below), whose sum is σ = 91404288. Its totient is φ = 79926000.

The previous prime is 85564289. The next prime is 85564307. The reversal of 85564301 is 10346558.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85564301 - 2¹⁸ = 85302157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85564307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246410 + ... + 246756.

It is an arithmetic number, because the mean of its divisors is an integer number (5712768).

Almost surely, 2^85564301 is an apocalyptic number.

It is an amenable number.

85564301 is a deficient number, since it is larger than the sum of its proper divisors (5839987).

85564301 is a wasteful number, since it uses less digits than its factorization.

85564301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 85564301 is about 9250.0973508391. The cubic root of 85564301 is about 440.6538162064.

It can be divided in two parts, 855 and 64301, that added together give a palindrome (65156).

The spelling of 85564301 in words is "eighty-five million, five hundred sixty-four thousand, three hundred one".