4005324 has 72 divisors (see below), whose sum is σ = 10844288. Its totient is φ = 1244160.

The previous prime is 4005317. The next prime is 4005341. The reversal of 4005324 is 4235004.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4005297 and 4005306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41244 + ... + 41340.

Almost surely, 2^4005324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422144).

4005324 is an abundant number, since it is smaller than the sum of its proper divisors (6838964).

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

4005324 is a wasteful number, since it uses less digits than its factorization.

4005324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4005324 is about 2001.3305574042. The cubic root of 4005324 is about 158.8105016668.

The spelling of 4005324 in words is "four million, five thousand, three hundred twenty-four".