4082364 has 108 divisors (see below), whose sum is σ = 12389832. Its totient is φ = 1123200.

The previous prime is 4082357. The next prime is 4082389. The reversal of 4082364 is 4632804.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 66894 + ... + 66954.

Almost surely, 2^4082364 is an apocalyptic number.

4082364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194916).

4082364 is an abundant number, since it is smaller than the sum of its proper divisors (8307468).

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

4082364 is a wasteful number, since it uses less digits than its factorization.

4082364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4082364 is about 2020.4860801302. The cubic root of 4082364 is about 159.8222505218.

It can be divided in two parts, 408 and 2364, that added together give a palindrome (2772).

The spelling of 4082364 in words is "four million, eighty-two thousand, three hundred sixty-four".