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19853 is a prime number
BaseRepresentation
bin100110110001101
31000020022
410312031
51113403
6231525
7111611
oct46615
930208
1019853
1113a09
12b5a5
139062
147341
155d38
hex4d8d

19853 has 2 divisors, whose sum is σ = 19854. Its totient is φ = 19852.

The previous prime is 19843. The next prime is 19861. The reversal of 19853 is 35891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13924 + 5929 = 118^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 19853 - 28 = 19597 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19853.

It is not a weakly prime, because it can be changed into another prime (19813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9926 + 9927.

It is an arithmetic number, because the mean of its divisors is an integer number (9927).

219853 is an apocalyptic number.

It is an amenable number.

19853 is a deficient number, since it is larger than the sum of its proper divisors (1).

19853 is an equidigital number, since it uses as much as digits as its factorization.

19853 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 26.

The square root of 19853 is about 140.9006742354. The cubic root of 19853 is about 27.0775093328.

The spelling of 19853 in words is "nineteen thousand, eight hundred fifty-three".