5085000 has 120 divisors (see below), whose sum is σ = 17361630. Its totient is φ = 1344000.

The previous prime is 5084999. The next prime is 5085011. The reversal of 5085000 is 5805.

It can be written as a sum of positive squares in 5 ways, for example, as 236196 + 4848804 = 486^2 + 2202^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44944 + ... + 45056.

Almost surely, 2^5085000 is an apocalyptic number.

5085000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680815).

5085000 is an abundant number, since it is smaller than the sum of its proper divisors (12276630).

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

5085000 is a wasteful number, since it uses less digits than its factorization.

5085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5085000 is about 2254.9944567559. The cubic root of 5085000 is about 171.9611413929.

5085000 divided by its product of nonzero digits (200) gives a triangular number (25425 = T₂₂₅).

The spelling of 5085000 in words is "five million, eighty-five thousand".