2005302 has 32 divisors (see below), whose sum is σ = 4419072. Its totient is φ = 602784.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005302 is 2035002.

It is a super-2 number, since 2×2005302² = 8042472222408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (138096).

2^2005302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209536).

2005302 is an abundant number, since it is smaller than the sum of its proper divisors (2413770).

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

2005302 is a wasteful number, since it uses less digits than its factorization.

2005302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2005302 is about 1416.0868617426. The cubic root of 2005302 is about 126.1033417745.

The spelling of 2005302 in words is "two million, five thousand, three hundred two".