71129 has 2 divisors, whose sum is σ = 71130. Its totient is φ = 71128.

The previous prime is 71119. The next prime is 71143. The reversal of 71129 is 92117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 19600 = 227^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 71129 - 2¹² = 67033 is a prime.

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 71129.

It is not a weakly prime, because it can be changed into another prime (71119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35564 + 35565.

It is an arithmetic number, because the mean of its divisors is an integer number (35565).

2⁷¹¹²⁹ is an apocalyptic number.

It is an amenable number.

71129 is a deficient number, since it is larger than the sum of its proper divisors (1).

71129 is an equidigital number, since it uses as much as digits as its factorization.

71129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 20.

The square root of 71129 is about 266.7002062241. The cubic root of 71129 is about 41.4332405133.

The spelling of 71129 in words is "seventy-one thousand, one hundred twenty-nine".