85541577 has 32 divisors (see below), whose sum is σ = 132903936. Its totient is φ = 48417600.

The previous prime is 85541557. The next prime is 85541579. The reversal of 85541577 is 77514558.

It is not a de Polignac number, because 85541577 - 2⁸ = 85541321 is a prime.

It is a super-2 number, since 2×85541577² = 14634722791293858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85541579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31327 + ... + 33947.

It is an arithmetic number, because the mean of its divisors is an integer number (4153248).

Almost surely, 2^85541577 is an apocalyptic number.

It is an amenable number.

85541577 is a deficient number, since it is larger than the sum of its proper divisors (47362359).

85541577 is a wasteful number, since it uses less digits than its factorization.

85541577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701.

The product of its digits is 196000, while the sum is 42.

The square root of 85541577 is about 9248.8689578780. The cubic root of 85541577 is about 440.6148034258.

The spelling of 85541577 in words is "eighty-five million, five hundred forty-one thousand, five hundred seventy-seven".