67829261 has 2 divisors, whose sum is σ = 67829262. Its totient is φ = 67829260.

The previous prime is 67829249. The next prime is 67829263. The reversal of 67829261 is 16292876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66113161 + 1716100 = 8131^2 + 1310^2 .

It is a cyclic number.

It is not a de Polignac number, because 67829261 - 2¹⁸ = 67567117 is a prime.

It is a super-2 number, since 2×67829261² = 9201617295612242, which contains 22 as substring.

Together with 67829263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67829263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33914630 + 33914631.

It is an arithmetic number, because the mean of its divisors is an integer number (33914631).

Almost surely, 2^67829261 is an apocalyptic number.

It is an amenable number.

67829261 is a deficient number, since it is larger than the sum of its proper divisors (1).

67829261 is an equidigital number, since it uses as much as digits as its factorization.

67829261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 67829261 is about 8235.8521720585. The cubic root of 67829261 is about 407.8236073495.

The spelling of 67829261 in words is "sixty-seven million, eight hundred twenty-nine thousand, two hundred sixty-one".