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123397 is a prime number
BaseRepresentation
bin11110001000000101
320021021021
4132020011
512422042
62351141
71022521
oct361005
9207237
10123397
118478a
125b4b1
1344221
1432d81
1526867
hex1e205

123397 has 2 divisors, whose sum is σ = 123398. Its totient is φ = 123396.

The previous prime is 123379. The next prime is 123401. The reversal of 123397 is 793321.

Together with previous prime (123379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 196 = 351^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 123397 - 27 = 123269 is a prime.

123397 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123307) 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, 61698 + 61699.

It is an arithmetic number, because the mean of its divisors is an integer number (61699).

2123397 is an apocalyptic number.

It is an amenable number.

123397 is a deficient number, since it is larger than the sum of its proper divisors (1).

123397 is an equidigital number, since it uses as much as digits as its factorization.

123397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 25.

The square root of 123397 is about 351.2790913220. The cubic root of 123397 is about 49.7853464626.

The spelling of 123397 in words is "one hundred twenty-three thousand, three hundred ninety-seven".