8003005 has 8 divisors (see below), whose sum is σ = 10168632. Its totient is φ = 6025728.

The previous prime is 8002987. The next prime is 8003027. The reversal of 8003005 is 5003008.

It can be written as a sum of positive squares in 4 ways, for example, as 1315609 + 6687396 = 1147^2 + 2586^2 .

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 8003005 - 2⁹ = 8002493 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8003005.

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, 46992 + ... + 47161.

It is an arithmetic number, because the mean of its divisors is an integer number (1271079).

Almost surely, 2^8003005 is an apocalyptic number.

8003005 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8003005 is a deficient number, since it is larger than the sum of its proper divisors (2165627).

8003005 is a wasteful number, since it uses less digits than its factorization.

8003005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94175.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 8003005 is about 2828.9582888406. The cubic root of 8003005 is about 200.0250385319.

The spelling of 8003005 in words is "eight million, three thousand, five".