129361 has 2 divisors, whose sum is σ = 129362. Its totient is φ = 129360.

The previous prime is 129347. The next prime is 129379. The reversal of 129361 is 163921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 11025 = 344^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 129361 - 2¹³ = 121169 is a prime.

129361 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (129341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64680 + 64681.

It is an arithmetic number, because the mean of its divisors is an integer number (64681).

2¹²⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

129361 is a deficient number, since it is larger than the sum of its proper divisors (1).

129361 is an equidigital number, since it uses as much as digits as its factorization.

129361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 22.

The square root of 129361 is about 359.6679023766. The cubic root of 129361 is about 50.5748326885.

The spelling of 129361 in words is "one hundred twenty-nine thousand, three hundred sixty-one".