85410577 has 12 divisors (see below), whose sum is σ = 99794916. Its totient is φ = 72885120.

The previous prime is 85410571. The next prime is 85410581. The reversal of 85410577 is 77501458.

It can be written as a sum of positive squares in 2 ways, for example, as 46771921 + 38638656 = 6839^2 + 6216^2 .

It is not a de Polignac number, because 85410577 - 2²³ = 77021969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85410571) 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 11 ways as a sum of consecutive naturals, for example, 7677 + ... + 15157.

It is an arithmetic number, because the mean of its divisors is an integer number (8316243).

Almost surely, 2^85410577 is an apocalyptic number.

It is an amenable number.

85410577 is a deficient number, since it is larger than the sum of its proper divisors (14384339).

85410577 is a wasteful number, since it uses less digits than its factorization.

85410577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 85410577 is about 9241.7842974179. The cubic root of 85410577 is about 440.3897665446.

The spelling of 85410577 in words is "eighty-five million, four hundred ten thousand, five hundred seventy-seven".