Search a number
-
+
123373 is a prime number
BaseRepresentation
bin11110000111101101
320021020101
4132013231
512421443
62351101
71022455
oct360755
9207211
10123373
1184768
125b491
1344203
1432d65
152684d
hex1e1ed

123373 has 2 divisors, whose sum is σ = 123374. Its totient is φ = 123372.

The previous prime is 123341. The next prime is 123377. The reversal of 123373 is 373321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 19044 = 323^2 + 138^2 .

It is a cyclic number.

It is not a de Polignac number, because 123373 - 25 = 123341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61686 + 61687.

It is an arithmetic number, because the mean of its divisors is an integer number (61687).

2123373 is an apocalyptic number.

It is an amenable number.

123373 is a deficient number, since it is larger than the sum of its proper divisors (1).

123373 is an equidigital number, since it uses as much as digits as its factorization.

123373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 19.

The square root of 123373 is about 351.2449287890. The cubic root of 123373 is about 49.7821185997.

Adding to 123373 its reverse (373321), we get a palindrome (496694).

It can be divided in two parts, 1233 and 73, that multiplied together give a palindrome (90009).

The spelling of 123373 in words is "one hundred twenty-three thousand, three hundred seventy-three", and thus it is an iban number.