Search a number
-
+
122389 is a prime number
BaseRepresentation
bin11101111000010101
320012212221
4131320111
512404024
62342341
71016551
oct357025
9205787
10122389
1183a53
125a9b1
1343927
1432861
15263e4
hex1de15

122389 has 2 divisors, whose sum is σ = 122390. Its totient is φ = 122388.

The previous prime is 122387. The next prime is 122393. The reversal of 122389 is 983221.

It can be divided in two parts, 12 and 2389, that added together give a 4-th power (2401 = 74).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 3364 = 345^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 122389 - 21 = 122387 is a prime.

Together with 122387, it forms a pair of twin primes.

122389 is a lucky number.

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 (122387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61194 + 61195.

It is an arithmetic number, because the mean of its divisors is an integer number (61195).

2122389 is an apocalyptic number.

It is an amenable number.

122389 is a deficient number, since it is larger than the sum of its proper divisors (1).

122389 is an equidigital number, since it uses as much as digits as its factorization.

122389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 25.

The square root of 122389 is about 349.8413926339. The cubic root of 122389 is about 49.6494142041.

The spelling of 122389 in words is "one hundred twenty-two thousand, three hundred eighty-nine".