3005300 has 36 divisors (see below), whose sum is σ = 6689676. Its totient is φ = 1171200.

The previous prime is 3005297. The next prime is 3005329. The reversal of 3005300 is 35003.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 2972176 = 182^2 + 1724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734 + ... + 4466.

Almost surely, 2^3005300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344838).

3005300 is an abundant number, since it is smaller than the sum of its proper divisors (3684376).

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

3005300 is a wasteful number, since it uses less digits than its factorization.

3005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 3005300 is about 1733.5801106381. The cubic root of 3005300 is about 144.3098395387.

The spelling of 3005300 in words is "three million, five thousand, three hundred".