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10937 is a prime number
BaseRepresentation
bin10101010111001
3120000002
42222321
5322222
6122345
743613
oct25271
916002
1010937
118243
1263b5
134c94
143db3
153392
hex2ab9

10937 has 2 divisors, whose sum is σ = 10938. Its totient is φ = 10936.

The previous prime is 10909. The next prime is 10939. The reversal of 10937 is 73901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 121 = 104^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 10937 - 212 = 6841 is a prime.

Together with 10939, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6.

It is a nialpdrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10937.

It is not a weakly prime, because it can be changed into another prime (10939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5468 + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (5469).

210937 is an apocalyptic number.

It is an amenable number.

10937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10937 is an equidigital number, since it uses as much as digits as its factorization.

10937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 10937 is about 104.5801128322. The cubic root of 10937 is about 22.1972617893.

The spelling of 10937 in words is "ten thousand, nine hundred thirty-seven".