85611567 has 16 divisors (see below), whose sum is σ = 120970080. Its totient is φ = 53760000.

The previous prime is 85611563. The next prime is 85611569. The reversal of 85611567 is 76511658.

It is not a de Polignac number, because 85611567 - 2² = 85611563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85611563) 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 15 ways as a sum of consecutive naturals, for example, 8434 + ... + 15567.

It is an arithmetic number, because the mean of its divisors is an integer number (7560630).

Almost surely, 2^85611567 is an apocalyptic number.

85611567 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

85611567 is a deficient number, since it is larger than the sum of its proper divisors (35358513).

85611567 is a wasteful number, since it uses less digits than its factorization.

85611567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24074.

The product of its digits is 50400, while the sum is 39.

The square root of 85611567 is about 9252.6518901340. The cubic root of 85611567 is about 440.7349408073.

Subtracting from 85611567 its reverse (76511658), we obtain a palindrome (9099909).

The spelling of 85611567 in words is "eighty-five million, six hundred eleven thousand, five hundred sixty-seven".