3005002 has 64 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 1010880.

The previous prime is 3004993. The next prime is 3005011. The reversal of 3005002 is 2005003.

3005002 = 314² + 315² + ... + 341².

It is an interprime number because it is at equal distance from previous prime (3004993) and next prime (3005011).

It is a self number, because there is not a number n which added to its sum of digits gives 3005002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37999 + ... + 38077.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 2^3005002 is an apocalyptic number.

3005002 is an abundant number, since it is smaller than the sum of its proper divisors (3446198).

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

3005002 is a wasteful number, since it uses less digits than its factorization.

3005002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3005002 is about 1733.4941592056. The cubic root of 3005002 is about 144.3050695486.

Subtracting from 3005002 its reverse (2005003), we obtain a palindrome (999999).

The spelling of 3005002 in words is "three million, five thousand, two".