10082837 has 2 divisors, whose sum is σ = 10082838. Its totient is φ = 10082836.

The previous prime is 10082803. The next prime is 10082857. The reversal of 10082837 is 73828001.

10082837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8814961 + 1267876 = 2969^2 + 1126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10082837 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10082857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041418 + 5041419.

It is an arithmetic number, because the mean of its divisors is an integer number (5041419).

Almost surely, 2^10082837 is an apocalyptic number.

It is an amenable number.

10082837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10082837 is an equidigital number, since it uses as much as digits as its factorization.

10082837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 10082837 is about 3175.3483273493. The cubic root of 10082837 is about 216.0367235800.

The spelling of 10082837 in words is "ten million, eighty-two thousand, eight hundred thirty-seven".