85642565 has 8 divisors (see below), whose sum is σ = 103221240. Its totient is φ = 68213952.

The previous prime is 85642559. The next prime is 85642567. The reversal of 85642565 is 56524658.

It can be written as a sum of positive squares in 4 ways, for example, as 6770404 + 78872161 = 2602^2 + 8881^2 .

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 85642565 - 2¹⁰ = 85641541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36254 + ... + 38543.

It is an arithmetic number, because the mean of its divisors is an integer number (12902655).

Almost surely, 2^85642565 is an apocalyptic number.

It is an amenable number.

85642565 is a deficient number, since it is larger than the sum of its proper divisors (17578675).

85642565 is a wasteful number, since it uses less digits than its factorization.

85642565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75031.

The product of its digits is 288000, while the sum is 41.

The square root of 85642565 is about 9254.3268258691. The cubic root of 85642565 is about 440.7881277524.

The spelling of 85642565 in words is "eighty-five million, six hundred forty-two thousand, five hundred sixty-five".