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84349 is a prime number
BaseRepresentation
bin10100100101111101
311021201001
4110211331
510144344
61450301
7500626
oct244575
9137631
1084349
1158411
1240991
132c515
1422a4d
1519ed4
hex1497d

84349 has 2 divisors, whose sum is σ = 84350. Its totient is φ = 84348.

The previous prime is 84347. The next prime is 84377. The reversal of 84349 is 94348.

It is an a-pointer prime, because the next prime (84377) can be obtained adding 84349 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 11449 = 270^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 84349 - 21 = 84347 is a prime.

It is a super-2 number, since 2×843492 = 14229507602, which contains 22 as substring.

Together with 84347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42174 + 42175.

It is an arithmetic number, because the mean of its divisors is an integer number (42175).

284349 is an apocalyptic number.

It is an amenable number.

84349 is a deficient number, since it is larger than the sum of its proper divisors (1).

84349 is an equidigital number, since it uses as much as digits as its factorization.

84349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 28.

The square root of 84349 is about 290.4289930431. The cubic root of 84349 is about 43.8557604571.

Subtracting 84349 from its reverse (94348), we obtain a palindrome (9999).

The spelling of 84349 in words is "eighty-four thousand, three hundred forty-nine".