3005415 has 72 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 1298304.

The previous prime is 3005393. The next prime is 3005417. The reversal of 3005415 is 5145003.

It is not a de Polignac number, because 3005415 - 2⁵ = 3005383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63922 + ... + 63968.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

Almost surely, 2^3005415 is an apocalyptic number.

3005415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3005415 is an abundant number, since it is smaller than the sum of its proper divisors (3396825).

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

3005415 is a wasteful number, since it uses less digits than its factorization.

3005415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3005415 is about 1733.6132786755. The cubic root of 3005415 is about 144.3116802223.

The spelling of 3005415 in words is "three million, five thousand, four hundred fifteen".