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123169 is a prime number
BaseRepresentation
bin11110000100100001
320020221211
4132010201
512420134
62350121
71022044
oct360441
9206854
10123169
11845a2
125b341
13440a7
1432c5b
1526764
hex1e121

123169 has 2 divisors, whose sum is σ = 123170. Its totient is φ = 123168.

The previous prime is 123143. The next prime is 123191. The reversal of 123169 is 961321.

It is an a-pointer prime, because the next prime (123191) can be obtained adding 123169 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 7569 = 340^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 123169 - 215 = 90401 is a prime.

It is a super-2 number, since 2×1231692 = 30341205122, which contains 22 as substring.

It is a Chen prime.

123169 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (123269) 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, 61584 + 61585.

It is an arithmetic number, because the mean of its divisors is an integer number (61585).

2123169 is an apocalyptic number.

It is an amenable number.

123169 is a deficient number, since it is larger than the sum of its proper divisors (1).

123169 is an equidigital number, since it uses as much as digits as its factorization.

123169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

The square root of 123169 is about 350.9544129941. The cubic root of 123169 is about 49.7546648488.

It can be divided in two parts, 123 and 169, that added together give a palindrome (292).

The spelling of 123169 in words is "one hundred twenty-three thousand, one hundred sixty-nine".