3983137 has 8 divisors (see below), whose sum is σ = 4069800. Its totient is φ = 3897600.

The previous prime is 3983131. The next prime is 3983153. The reversal of 3983137 is 7313893.

3983137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 3129361 = 924^2 + 1769^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3983137 - 2³ = 3983129 is a prime.

It is a Duffinian number.

3983137 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983131) 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 7 ways as a sum of consecutive naturals, for example, 11239 + ... + 11587.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^3983137 is an apocalyptic number.

It is an amenable number.

3983137 is a deficient number, since it is larger than the sum of its proper divisors (86663).

3983137 is a wasteful number, since it uses less digits than its factorization.

3983137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its digits is 13608, while the sum is 34.

The square root of 3983137 is about 1995.7797974727. The cubic root of 3983137 is about 158.5167214593.

The spelling of 3983137 in words is "three million, nine hundred eighty-three thousand, one hundred thirty-seven".