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126457 is a prime number
BaseRepresentation
bin11110110111111001
320102110121
4132313321
513021312
62413241
71034452
oct366771
9212417
10126457
1187011
1261221
1345736
1434129
1527707
hex1edf9

126457 has 2 divisors, whose sum is σ = 126458. Its totient is φ = 126456.

The previous prime is 126443. The next prime is 126461. The reversal of 126457 is 754621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 30976 = 309^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126457 is a prime.

It is a d-powerful number, because it can be written as 1 + 2 + 45 + 65 + 5 + 76 .

126457 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (126487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63228 + 63229.

It is an arithmetic number, because the mean of its divisors is an integer number (63229).

2126457 is an apocalyptic number.

It is an amenable number.

126457 is a deficient number, since it is larger than the sum of its proper divisors (1).

126457 is an equidigital number, since it uses as much as digits as its factorization.

126457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 126457 is about 355.6079301703. The cubic root of 126457 is about 50.1935167259.

The spelling of 126457 in words is "one hundred twenty-six thousand, four hundred fifty-seven".