3305124 has 45 divisors (see below), whose sum is σ = 8726641. Its totient is φ = 1090800.

The previous prime is 3305119. The next prime is 3305147. The reversal of 3305124 is 4215033.

The square root of 3305124 is 1818.

It is a perfect power (a square), and thus also a powerful number.

3305124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 129600 = 1782^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3305097 and 3305106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32674 + ... + 32774.

Almost surely, 2^3305124 is an apocalyptic number.

3305124 is the 1818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305124

3305124 is an abundant number, since it is smaller than the sum of its proper divisors (5421517).

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

3305124 is a wasteful number, since it uses less digits than its factorization.

3305124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

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

The cubic root of 3305124 is about 148.9575724131.

Subtracting 3305124 from its reverse (4215033), we obtain a palindrome (909909).

The spelling of 3305124 in words is "three million, three hundred five thousand, one hundred twenty-four".