4008991 has 16 divisors (see below), whose sum is σ = 4942080. Its totient is φ = 3173760.

The previous prime is 4008971. The next prime is 4008997. The reversal of 4008991 is 1998004.

It is a cyclic number.

It is not a de Polignac number, because 4008991 - 2¹⁵ = 3976223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008997) 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, 6736 + ... + 7306.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 2^4008991 is an apocalyptic number.

4008991 is a deficient number, since it is larger than the sum of its proper divisors (933089).

4008991 is a wasteful number, since it uses less digits than its factorization.

4008991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 4008991 is about 2002.2464883226. The cubic root of 4008991 is about 158.8589522189.

The spelling of 4008991 in words is "four million, eight thousand, nine hundred ninety-one".