4004691 has 16 divisors (see below), whose sum is σ = 5627904. Its totient is φ = 2528064.

The previous prime is 4004683. The next prime is 4004699. The reversal of 4004691 is 1964004.

It is an interprime number because it is at equal distance from previous prime (4004683) and next prime (4004699).

It is not a de Polignac number, because 4004691 - 2³ = 4004683 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004699) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8535 + ... + 8991.

It is an arithmetic number, because the mean of its divisors is an integer number (351744).

Almost surely, 2^4004691 is an apocalyptic number.

4004691 is a deficient number, since it is larger than the sum of its proper divisors (1623213).

4004691 is a wasteful number, since it uses less digits than its factorization.

4004691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4004691 is about 2001.1724063658. The cubic root of 4004691 is about 158.8021351074.

Adding to 4004691 its reverse (1964004), we get a palindrome (5968695).

The spelling of 4004691 in words is "four million, four thousand, six hundred ninety-one".