68129 has 4 divisors (see below), whose sum is σ = 68676. Its totient is φ = 67584.

The previous prime is 68113. The next prime is 68141. The reversal of 68129 is 92186.

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: 92186 = 2 ⋅46093.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 46225 = 148^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 68129 - 2⁴ = 68113 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68098 and 68107.

It is not an unprimeable number, because it can be changed into a prime (68329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (17169).

2⁶⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

68129 is a deficient number, since it is larger than the sum of its proper divisors (547).

68129 is a wasteful number, since it uses less digits than its factorization.

68129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its digits is 864, while the sum is 26.

The square root of 68129 is about 261.0153252206. The cubic root of 68129 is about 40.8423451811.

The spelling of 68129 in words is "sixty-eight thousand, one hundred twenty-nine".