129541 has 4 divisors (see below), whose sum is σ = 130284. Its totient is φ = 128800.

The previous prime is 129539. The next prime is 129553. The reversal of 129541 is 145921.

129541 = 254² + 255².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 145921 = 337 ⋅433.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 65025 = 254^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 129541 - 2¹ = 129539 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (32571).

2¹²⁹⁵⁴¹ is an apocalyptic number.

129541 is the 255-th centered square number.

It is an amenable number.

129541 is a deficient number, since it is larger than the sum of its proper divisors (743).

129541 is an equidigital number, since it uses as much as digits as its factorization.

129541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 360, while the sum is 22.

The square root of 129541 is about 359.9180462272. The cubic root of 129541 is about 50.5982793501.

The spelling of 129541 in words is "one hundred twenty-nine thousand, five hundred forty-one".