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123457 is a prime number
BaseRepresentation
bin11110001001000001
320021100111
4132021001
512422312
62351321
71022635
oct361101
9207314
10123457
1184834
125b541
1344269
1432dc5
15268a7
hex1e241

123457 has 2 divisors, whose sum is σ = 123458. Its totient is φ = 123456.

The previous prime is 123449. The next prime is 123479. The reversal of 123457 is 754321.

Adding to 123457 its reverse (754321), we get a palindrome (877778).

It is an a-pointer prime, because the next prime (123479) can be obtained adding 123457 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 256 = 351^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 123457 - 23 = 123449 is a prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (123407) 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, 61728 + 61729.

It is an arithmetic number, because the mean of its divisors is an integer number (61729).

2123457 is an apocalyptic number.

It is an amenable number.

123457 is a deficient number, since it is larger than the sum of its proper divisors (1).

123457 is an equidigital number, since it uses as much as digits as its factorization.

123457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 123457 is about 351.3644831226. The cubic root of 123457 is about 49.7934142891.

The spelling of 123457 in words is "one hundred twenty-three thousand, four hundred fifty-seven".