2005032 has 32 divisors (see below), whose sum is σ = 5277600. Its totient is φ = 633024.

The previous prime is 2005027. The next prime is 2005033. The reversal of 2005032 is 2305002.

2005032 = T₆₆₃ + T₆₆₄ + ... + T₆₇₁.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2004999 and 2005017.

It is not an unprimeable number, because it can be changed into a prime (2005033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (164925).

2^2005032 is an apocalyptic number.

It is an amenable number.

2005032 is an abundant number, since it is smaller than the sum of its proper divisors (3272568).

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

2005032 is a wasteful number, since it uses less digits than its factorization.

2005032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4421 counting only the distinct ones).

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

The square root of 2005032 is about 1415.9915253984. The cubic root of 2005032 is about 126.0976818738.

The spelling of 2005032 in words is "two million, five thousand, thirty-two".