6838137 has 12 divisors (see below), whose sum is σ = 9989460. Its totient is φ = 4507008.

The previous prime is 6838133. The next prime is 6838141. The reversal of 6838137 is 7318386.

It is an interprime number because it is at equal distance from previous prime (6838133) and next prime (6838141).

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 3059001 = 1944^2 + 1749^2 .

It is not a de Polignac number, because 6838137 - 2² = 6838133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6838133) 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 11 ways as a sum of consecutive naturals, for example, 3468 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (832455).

Almost surely, 2^6838137 is an apocalyptic number.

It is an amenable number.

6838137 is a deficient number, since it is larger than the sum of its proper divisors (3151323).

6838137 is a wasteful number, since it uses less digits than its factorization.

6838137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8629 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6838137 is about 2614.9831739420. The cubic root of 6838137 is about 189.8071635384.

Subtracting 6838137 from its reverse (7318386), we obtain a square (480249 = 693²).

The spelling of 6838137 in words is "six million, eight hundred thirty-eight thousand, one hundred thirty-seven".