3006405 has 12 divisors (see below), whose sum is σ = 5211180. Its totient is φ = 1603392.

The previous prime is 3006397. The next prime is 3006413. The reversal of 3006405 is 5046003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3006397) and next prime (3006413).

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 2461761 = 738^2 + 1569^2 .

It is not a de Polignac number, because 3006405 - 2³ = 3006397 is a prime.

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, 33360 + ... + 33449.

It is an arithmetic number, because the mean of its divisors is an integer number (434265).

Almost surely, 2^3006405 is an apocalyptic number.

It is an amenable number.

3006405 is a deficient number, since it is larger than the sum of its proper divisors (2204775).

3006405 is a wasteful number, since it uses less digits than its factorization.

3006405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66820 (or 66817 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3006405 is about 1733.8987859734. The cubic root of 3006405 is about 144.3275241661.

The spelling of 3006405 in words is "three million, six thousand, four hundred five".