4004031 has 8 divisors (see below), whose sum is σ = 5463040. Its totient is φ = 2607192.

The previous prime is 4004023. The next prime is 4004057. The reversal of 4004031 is 1304004.

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

It is not a de Polignac number, because 4004031 - 2³ = 4004023 is a prime.

It is a super-2 number, since 2×4004031² = 32064528497922, which contains 22 as substring.

It is a Duffinian number.

4004031 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4003998 and 4004016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15391 + ... + 15648.

It is an arithmetic number, because the mean of its divisors is an integer number (682880).

Almost surely, 2^4004031 is an apocalyptic number.

4004031 is a deficient number, since it is larger than the sum of its proper divisors (1459009).

4004031 is a wasteful number, since it uses less digits than its factorization.

4004031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31085.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4004031 is about 2001.0074962378. The cubic root of 4004031 is about 158.7934107416.

Adding to 4004031 its reverse (1304004), we get a palindrome (5308035).

The spelling of 4004031 in words is "four million, four thousand, thirty-one".