67829 has 2 divisors, whose sum is σ = 67830. Its totient is φ = 67828.

The previous prime is 67819. The next prime is 67843. The reversal of 67829 is 92876.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 5329 = 250^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 67829 - 2¹⁶ = 2293 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 67795 and 67804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33914 + 33915.

It is an arithmetic number, because the mean of its divisors is an integer number (33915).

2⁶⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

67829 is a deficient number, since it is larger than the sum of its proper divisors (1).

67829 is an equidigital number, since it uses as much as digits as its factorization.

67829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

The square root of 67829 is about 260.4400122869. The cubic root of 67829 is about 40.7823084261.

It can be divided in two parts, 678 and 29, that added together give a palindrome (707).

The spelling of 67829 in words is "sixty-seven thousand, eight hundred twenty-nine".