3004575 has 48 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 1336320.

The previous prime is 3004553. The next prime is 3004583. The reversal of 3004575 is 5754003.

It is not a de Polignac number, because 3004575 - 2⁵ = 3004543 is a prime.

3004575 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30927 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 2^3004575 is an apocalyptic number.

3004575 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3004575 is a deficient number, since it is larger than the sum of its proper divisors (2828385).

3004575 is a wasteful number, since it uses less digits than its factorization.

3004575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 3004575 is about 1733.3709931806. The cubic root of 3004575 is about 144.2982341473.

Subtracting from 3004575 its product of nonzero digits (2100), we obtain a triangular number (3002475 = T₂₄₅₀).

Adding to 3004575 its reverse (5754003), we get a palindrome (8758578).

The spelling of 3004575 in words is "three million, four thousand, five hundred seventy-five".