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123289 is a prime number
BaseRepresentation
bin11110000110011001
320021010021
4132012121
512421124
62350441
71022305
oct360631
9207107
10123289
11846a1
125b421
134416a
1432d05
15267e4
hex1e199

123289 has 2 divisors, whose sum is σ = 123290. Its totient is φ = 123288.

The previous prime is 123269. The next prime is 123307. The reversal of 123289 is 982321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 38025 = 292^2 + 195^2 .

It is an emirp because it is prime and its reverse (982321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123289 - 29 = 122777 is a prime.

It is not a weakly prime, because it can be changed into another prime (123209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61644 + 61645.

It is an arithmetic number, because the mean of its divisors is an integer number (61645).

2123289 is an apocalyptic number.

It is an amenable number.

123289 is a deficient number, since it is larger than the sum of its proper divisors (1).

123289 is an equidigital number, since it uses as much as digits as its factorization.

123289 is an odious number, because the sum of its binary digits is odd.

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

The square root of 123289 is about 351.1253337485. The cubic root of 123289 is about 49.7708177819.

The spelling of 123289 in words is "one hundred twenty-three thousand, two hundred eighty-nine".