68007829 has 2 divisors, whose sum is σ = 68007830. Its totient is φ = 68007828.

The previous prime is 68007827. The next prime is 68007839. The reversal of 68007829 is 92870086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67404100 + 603729 = 8210^2 + 777^2 .

It is a cyclic number.

It is not a de Polignac number, because 68007829 - 2¹ = 68007827 is a prime.

Together with 68007827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 68007791 and 68007800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (68007827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34003914 + 34003915.

It is an arithmetic number, because the mean of its divisors is an integer number (34003915).

Almost surely, 2^68007829 is an apocalyptic number.

It is an amenable number.

68007829 is a deficient number, since it is larger than the sum of its proper divisors (1).

68007829 is an equidigital number, since it uses as much as digits as its factorization.

68007829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 68007829 is about 8246.6859404248. The cubic root of 68007829 is about 408.1811739425.

The spelling of 68007829 in words is "sixty-eight million, seven thousand, eight hundred twenty-nine".