4004377 has 8 divisors (see below), whose sum is σ = 4362120. Its totient is φ = 3653760.

The previous prime is 4004359. The next prime is 4004387. The reversal of 4004377 is 7734004.

It is a happy number.

4004377 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 4 ways, for example, as 68121 + 3936256 = 261^2 + 1984^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004377 - 2⁷ = 4004249 is a prime.

It is a Duffinian number.

4004377 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4004387) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 574 + ... + 2887.

It is an arithmetic number, because the mean of its divisors is an integer number (545265).

Almost surely, 2^4004377 is an apocalyptic number.

It is an amenable number.

4004377 is a deficient number, since it is larger than the sum of its proper divisors (357743).

4004377 is a wasteful number, since it uses less digits than its factorization.

4004377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 4004377 is about 2001.0939508179. The cubic root of 4004377 is about 158.7979845438.

The spelling of 4004377 in words is "four million, four thousand, three hundred seventy-seven".