2005407 has 6 divisors (see below), whose sum is σ = 2896712. Its totient is φ = 1336932.

The previous prime is 2005397. The next prime is 2005417. The reversal of 2005407 is 7045002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005397) and next prime (2005417).

It is not a de Polignac number, because 2005407 - 2⁶ = 2005343 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111403 + ... + 111420.

2^2005407 is an apocalyptic number.

2005407 is a deficient number, since it is larger than the sum of its proper divisors (891305).

2005407 is a wasteful number, since it uses less digits than its factorization.

2005407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222829 (or 222826 counting only the distinct ones).

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

The square root of 2005407 is about 1416.1239352543. The cubic root of 2005407 is about 126.1055427098.

The spelling of 2005407 in words is "two million, five thousand, four hundred seven".