67829141 has 2 divisors, whose sum is σ = 67829142. Its totient is φ = 67829140.

The previous prime is 67829123. The next prime is 67829143. The reversal of 67829141 is 14192876.

67829141 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40056241 + 27772900 = 6329^2 + 5270^2 .

It is a cyclic number.

It is not a de Polignac number, because 67829141 - 2¹⁴ = 67812757 is a prime.

Together with 67829143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 67829095 and 67829104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67829143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33914570 + 33914571.

It is an arithmetic number, because the mean of its divisors is an integer number (33914571).

Almost surely, 2^67829141 is an apocalyptic number.

It is an amenable number.

67829141 is a deficient number, since it is larger than the sum of its proper divisors (1).

67829141 is an equidigital number, since it uses as much as digits as its factorization.

67829141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 38.

The square root of 67829141 is about 8235.8448868346. The cubic root of 67829141 is about 407.8233668493.

The spelling of 67829141 in words is "sixty-seven million, eight hundred twenty-nine thousand, one hundred forty-one".