802827585 has 64 divisors (see below), whose sum is σ = 1634895360. Its totient is φ = 366163200.

The previous prime is 802827583. The next prime is 802827593. The reversal of 802827585 is 585728208.

It is not a de Polignac number, because 802827585 - 2¹ = 802827583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 802827585.

It is not an unprimeable number, because it can be changed into a prime (802827583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616435 + ... + 617735.

It is an arithmetic number, because the mean of its divisors is an integer number (25545240).

Almost surely, 2^802827585 is an apocalyptic number.

It is an amenable number.

802827585 is an abundant number, since it is smaller than the sum of its proper divisors (832067775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

802827585 is a wasteful number, since it uses less digits than its factorization.

802827585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 802827585 is about 28334.2122706808. The cubic root of 802827585 is about 929.4101879311.

The spelling of 802827585 in words is "eight hundred two million, eight hundred twenty-seven thousand, five hundred eighty-five".