85106577 has 8 divisors (see below), whose sum is σ = 113529600. Its totient is φ = 56710640.

The previous prime is 85106557. The next prime is 85106579. The reversal of 85106577 is 77560158.

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 85106577 - 2⁶ = 85106513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85106579) 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, 2299 + ... + 13247.

It is an arithmetic number, because the mean of its divisors is an integer number (14191200).

Almost surely, 2^85106577 is an apocalyptic number.

It is an amenable number.

85106577 is a deficient number, since it is larger than the sum of its proper divisors (28423023).

85106577 is a wasteful number, since it uses less digits than its factorization.

85106577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13543.

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 85106577 is about 9225.3225959855. The cubic root of 85106577 is about 439.8666555299.

The spelling of 85106577 in words is "eighty-five million, one hundred six thousand, five hundred seventy-seven".