71128829 has 2 divisors, whose sum is σ = 71128830. Its totient is φ = 71128828.

The previous prime is 71128823. The next prime is 71128831. The reversal of 71128829 is 92882117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44863204 + 26265625 = 6698^2 + 5125^2 .

It is a cyclic number.

It is not a de Polignac number, because 71128829 - 2⁸ = 71128573 is a prime.

It is a super-2 number, since 2×71128829² = 10118620629822482, which contains 22 as substring.

Together with 71128831, 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 = 71128792 and 71128801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71128823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35564414 + 35564415.

It is an arithmetic number, because the mean of its divisors is an integer number (35564415).

Almost surely, 2^71128829 is an apocalyptic number.

It is an amenable number.

71128829 is a deficient number, since it is larger than the sum of its proper divisors (1).

71128829 is an equidigital number, since it uses as much as digits as its factorization.

71128829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 38.

The square root of 71128829 is about 8433.7909032653. The cubic root of 71128829 is about 414.3320731034.

The spelling of 71128829 in words is "seventy-one million, one hundred twenty-eight thousand, eight hundred twenty-nine".