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11437 is a prime number
BaseRepresentation
bin10110010101101
3120200121
42302231
5331222
6124541
745226
oct26255
916617
1011437
118658
126751
13528a
14424d
1535c7

11437 has 2 divisors, whose sum is σ = 11438. Its totient is φ = 11436.

The previous prime is 11423. The next prime is 11443. The reversal of 11437 is 73411.

Adding to 11437 its reverse (73411), we get a palindrome (84848).

It can be divided in two parts, 1143 and 7, that multiplied together give a triangular number (8001 = T126).

11437 is digitally balanced in base 3, 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., 8836 + 2601 = 94^2 + 51^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11437 is a prime.

11437 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 11437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5718 + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (5719).

211437 is an apocalyptic number.

It is an amenable number.

11437 is a deficient number, since it is larger than the sum of its proper divisors (1).

11437 is an equidigital number, since it uses as much as digits as its factorization.

11437 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 16.

The square root of 11437 is about 106.9439105326. The cubic root of 11437 is about 22.5304936336.

The spelling of 11437 in words is "eleven thousand, four hundred thirty-seven".