4005352 has 32 divisors (see below), whose sum is σ = 8517600. Its totient is φ = 1750464.

The previous prime is 4005347. The next prime is 4005367. The reversal of 4005352 is 2535004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 7 ways as a sum of consecutive naturals, for example, 963 + ... + 2989.

It is an arithmetic number, because the mean of its divisors is an integer number (266175).

Almost surely, 2^4005352 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 4005352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258800).

4005352 is an abundant number, since it is smaller than the sum of its proper divisors (4512248).

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

4005352 is a wasteful number, since it uses less digits than its factorization.

4005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 4005352 is about 2001.3375527382. The cubic root of 4005352 is about 158.8108717312.

The spelling of 4005352 in words is "four million, five thousand, three hundred fifty-two".