129457 has 2 divisors, whose sum is σ = 129458. Its totient is φ = 129456.

The previous prime is 129449. The next prime is 129461. The reversal of 129457 is 754921.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128881 + 576 = 359^2 + 24^2 .

It is an emirp because it is prime and its reverse (754921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 129457 - 2³ = 129449 is a prime.

It is a super-2 number, since 2×129457² = 33518229698, which contains 22 as substring.

It is an Ulam number.

129457 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (129497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64728 + 64729.

It is an arithmetic number, because the mean of its divisors is an integer number (64729).

2¹²⁹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

129457 is a deficient number, since it is larger than the sum of its proper divisors (1).

129457 is an equidigital number, since it uses as much as digits as its factorization.

129457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 28.

The square root of 129457 is about 359.8013340720. The cubic root of 129457 is about 50.5873402794.

The spelling of 129457 in words is "one hundred twenty-nine thousand, four hundred fifty-seven".