10006837 has 4 divisors (see below), whose sum is σ = 10022380. Its totient is φ = 9991296.

The previous prime is 10006823. The next prime is 10006849. The reversal of 10006837 is 73860001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73860001 = 257 ⋅287393.

It can be written as a sum of positive squares in 2 ways, for example, as 2792241 + 7214596 = 1671^2 + 2686^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006837 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 (10006937) 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 3 ways as a sum of consecutive naturals, for example, 6762 + ... + 8107.

It is an arithmetic number, because the mean of its divisors is an integer number (2505595).

Almost surely, 2^10006837 is an apocalyptic number.

It is an amenable number.

10006837 is a deficient number, since it is larger than the sum of its proper divisors (15543).

10006837 is an equidigital number, since it uses as much as digits as its factorization.

10006837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10006837 is about 3163.3585000755. The cubic root of 10006837 is about 215.4925573842.

Adding to 10006837 its reverse (73860001), we get a palindrome (83866838).

The spelling of 10006837 in words is "ten million, six thousand, eight hundred thirty-seven".