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10837 is a prime number
BaseRepresentation
bin10101001010101
3112212101
42221111
5321322
6122101
743411
oct25125
915771
1010837
118162
126331
134c18
143d41
153327
hex2a55

10837 has 2 divisors, whose sum is σ = 10838. Its totient is φ = 10836.

The previous prime is 10831. The next prime is 10847. The reversal of 10837 is 73801.

10837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 43-rd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 2916 = 89^2 + 54^2 .

It is a cyclic number.

It is not a de Polignac number, because 10837 - 27 = 10709 is a prime.

It is a Chen prime.

It is a nialpdrome in base 4 and base 12.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5418 + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (5419).

210837 is an apocalyptic number.

It is an amenable number.

10837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10837 is an equidigital number, since it uses as much as digits as its factorization.

10837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10837 is about 104.1009125801. The cubic root of 10837 is about 22.1294026584.

The spelling of 10837 in words is "ten thousand, eight hundred thirty-seven".