2005047 has 32 divisors (see below), whose sum is σ = 3336960. Its totient is φ = 1179360.

The previous prime is 2005039. The next prime is 2005057. The reversal of 2005047 is 7405002.

It is a happy number.

It is not a de Polignac number, because 2005047 - 2³ = 2005039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12693 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (104280).

2^2005047 is an apocalyptic number.

2005047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2005047 is a deficient number, since it is larger than the sum of its proper divisors (1331913).

2005047 is a wasteful number, since it uses less digits than its factorization.

2005047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2005047 is about 1415.9968220303. The cubic root of 2005047 is about 126.0979963261.

The spelling of 2005047 in words is "two million, five thousand, forty-seven".