3998137 has 16 divisors (see below), whose sum is σ = 4773888. Its totient is φ = 3300480.

The previous prime is 3998131. The next prime is 3998171. The reversal of 3998137 is 7318993.

3998137 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 3998137 - 2¹⁹ = 3473849 is a prime.

It is a Duffinian number.

3998137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3998137.

It is not an unprimeable number, because it can be changed into a prime (3998131) 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, 10248 + ... + 10630.

It is an arithmetic number, because the mean of its divisors is an integer number (298368).

Almost surely, 2^3998137 is an apocalyptic number.

It is an amenable number.

3998137 is a deficient number, since it is larger than the sum of its proper divisors (775751).

3998137 is a wasteful number, since it uses less digits than its factorization.

3998137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 40824, while the sum is 40.

The square root of 3998137 is about 1999.5341957566. The cubic root of 3998137 is about 158.7154569685.

The spelling of 3998137 in words is "three million, nine hundred ninety-eight thousand, one hundred thirty-seven".