4084137 has 12 divisors (see below), whose sum is σ = 5959044. Its totient is φ = 2695200.

The previous prime is 4084109. The next prime is 4084139. The reversal of 4084137 is 7314804.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 68121 = 2004^2 + 261^2 .

It is not a de Polignac number, because 4084137 - 2⁸ = 4083881 is a prime.

4084137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4084137.

It is not an unprimeable number, because it can be changed into a prime (4084139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (496587).

Almost surely, 2^4084137 is an apocalyptic number.

It is an amenable number.

4084137 is a deficient number, since it is larger than the sum of its proper divisors (1874907).

4084137 is a wasteful number, since it uses less digits than its factorization.

4084137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4084137 is about 2020.9247883086. The cubic root of 4084137 is about 159.8453844901.

The spelling of 4084137 in words is "four million, eighty-four thousand, one hundred thirty-seven".