Search a number
-
+
133379 is a prime number
BaseRepresentation
bin100000100100000011
320202221222
4200210003
513232004
62505255
71063601
oct404403
9222858
10133379
1191234
126522b
134892c
1436871
15297be
hex20903

133379 has 2 divisors, whose sum is σ = 133380. Its totient is φ = 133378.

The previous prime is 133351. The next prime is 133387. The reversal of 133379 is 973331.

133379 is nontrivially palindromic in base 7.

It is a strong prime.

It is an emirp because it is prime and its reverse (973331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133379 - 216 = 67843 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 10.

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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66689 + 66690.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

2133379 is an apocalyptic number.

133379 is a deficient number, since it is larger than the sum of its proper divisors (1).

133379 is an equidigital number, since it uses as much as digits as its factorization.

133379 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 26.

The square root of 133379 is about 365.2108979754. The cubic root of 133379 is about 51.0931272934.

It can be divided in two parts, 133 and 379, that added together give a 9-th power (512 = 29).

The spelling of 133379 in words is "one hundred thirty-three thousand, three hundred seventy-nine".