4005364 has 48 divisors (see below), whose sum is σ = 8205120. Its totient is φ = 1693440.

The previous prime is 4005347. The next prime is 4005367. The reversal of 4005364 is 4635004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54832 + ... + 54904.

It is an arithmetic number, because the mean of its divisors is an integer number (170940).

Almost surely, 2^4005364 is an apocalyptic number.

4005364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4005364 is an abundant number, since it is smaller than the sum of its proper divisors (4199756).

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

4005364 is a wasteful number, since it uses less digits than its factorization.

4005364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4005364 is about 2001.3405507309. The cubic root of 4005364 is about 158.8110303297.

The spelling of 4005364 in words is "four million, five thousand, three hundred sixty-four".