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133349 is a prime number
BaseRepresentation
bin100000100011100101
320202220212
4200203211
513231344
62505205
71063526
oct404345
9222825
10133349
1191207
1265205
1348908
143684d
152979e
hex208e5

133349 has 2 divisors, whose sum is σ = 133350. Its totient is φ = 133348.

The previous prime is 133337. The next prime is 133351. The reversal of 133349 is 943331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 37249 = 310^2 + 193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133349 is a prime.

Together with 133351, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133319) 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, 66674 + 66675.

It is an arithmetic number, because the mean of its divisors is an integer number (66675).

2133349 is an apocalyptic number.

It is an amenable number.

133349 is a deficient number, since it is larger than the sum of its proper divisors (1).

133349 is an equidigital number, since it uses as much as digits as its factorization.

133349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

The square root of 133349 is about 365.1698235068. The cubic root of 133349 is about 51.0892963336.

The spelling of 133349 in words is "one hundred thirty-three thousand, three hundred forty-nine".