71838629 has 2 divisors, whose sum is σ = 71838630. Its totient is φ = 71838628.

The previous prime is 71838593. The next prime is 71838631. The reversal of 71838629 is 92683817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60481729 + 11356900 = 7777^2 + 3370^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71838629 is a prime.

Together with 71838631, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71838629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71838659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35919314 + 35919315.

It is an arithmetic number, because the mean of its divisors is an integer number (35919315).

Almost surely, 2^71838629 is an apocalyptic number.

It is an amenable number.

71838629 is a deficient number, since it is larger than the sum of its proper divisors (1).

71838629 is an equidigital number, since it uses as much as digits as its factorization.

71838629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 44.

The square root of 71838629 is about 8475.7671629181. The cubic root of 71838629 is about 415.7057310078.

The spelling of 71838629 in words is "seventy-one million, eight hundred thirty-eight thousand, six hundred twenty-nine".