801082585 has 8 divisors (see below), whose sum is σ = 1017846216. Its totient is φ = 603168000.

The previous prime is 801082577. The next prime is 801082627. The reversal of 801082585 is 585280108.

It can be written as a sum of positive squares in 4 ways, for example, as 416608921 + 384473664 = 20411^2 + 19608^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 801082585 - 2³ = 801082577 is a prime.

It is a Duffinian 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, 4712166 + ... + 4712335.

It is an arithmetic number, because the mean of its divisors is an integer number (127230777).

Almost surely, 2^801082585 is an apocalyptic number.

801082585 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

801082585 is a deficient number, since it is larger than the sum of its proper divisors (216763631).

801082585 is a wasteful number, since it uses less digits than its factorization.

801082585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424523.

The product of its (nonzero) digits is 25600, while the sum is 37.

The square root of 801082585 is about 28303.4023573139. The cubic root of 801082585 is about 928.7363208497.

The spelling of 801082585 in words is "eight hundred one million, eighty-two thousand, five hundred eighty-five".