85577005 has 8 divisors (see below), whose sum is σ = 102746232. Its totient is φ = 68425728.

The previous prime is 85576973. The next prime is 85577059. The reversal of 85577005 is 50077558.

It can be written as a sum of positive squares in 4 ways, for example, as 35832196 + 49744809 = 5986^2 + 7053^2 .

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 85577005 - 2⁵ = 85576973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10657 + ... + 16873.

It is an arithmetic number, because the mean of its divisors is an integer number (12843279).

Almost surely, 2^85577005 is an apocalyptic number.

It is an amenable number.

85577005 is a deficient number, since it is larger than the sum of its proper divisors (17169227).

85577005 is a wasteful number, since it uses less digits than its factorization.

85577005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975.

The product of its (nonzero) digits is 49000, while the sum is 37.

The square root of 85577005 is about 9250.7840208276. The cubic root of 85577005 is about 440.6756235450.

The spelling of 85577005 in words is "eighty-five million, five hundred seventy-seven thousand, five".