85344577 has 8 divisors (see below), whose sum is σ = 86718632. Its totient is φ = 83980800.

The previous prime is 85344563. The next prime is 85344583. The reversal of 85344577 is 77544358.

It can be written as a sum of positive squares in 4 ways, for example, as 6330256 + 79014321 = 2516^2 + 8889^2 .

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 85344577 - 2⁷ = 85344449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85344547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15127 + ... + 19987.

It is an arithmetic number, because the mean of its divisors is an integer number (10839829).

Almost surely, 2^85344577 is an apocalyptic number.

It is an amenable number.

85344577 is a deficient number, since it is larger than the sum of its proper divisors (1374055).

85344577 is a wasteful number, since it uses less digits than its factorization.

85344577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139.

The product of its digits is 470400, while the sum is 43.

The square root of 85344577 is about 9238.2128682987. The cubic root of 85344577 is about 440.2763020083.

The spelling of 85344577 in words is "eighty-five million, three hundred forty-four thousand, five hundred seventy-seven".