4137991 has 16 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 3287520.

The previous prime is 4137979. The next prime is 4137997. The reversal of 4137991 is 1997314.

4137991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4137991 - 2⁷ = 4137863 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 (4137997) 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 15 ways as a sum of consecutive naturals, for example, 1956 + ... + 3478.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^4137991 is an apocalyptic number.

4137991 is a deficient number, since it is larger than the sum of its proper divisors (982649).

4137991 is a wasteful number, since it uses less digits than its factorization.

4137991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566.

The product of its digits is 6804, while the sum is 34.

The square root of 4137991 is about 2034.2052502144. The cubic root of 4137991 is about 160.5448999809.

The spelling of 4137991 in words is "four million, one hundred thirty-seven thousand, nine hundred ninety-one".