71284129 has 16 divisors (see below), whose sum is σ = 82758528. Its totient is φ = 60141312.

The previous prime is 71284121. The next prime is 71284151. The reversal of 71284129 is 92148217.

It is not a de Polignac number, because 71284129 - 2³ = 71284121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71284094 and 71284103.

It is not an unprimeable number, because it can be changed into a prime (71284121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179359 + ... + 179755.

It is an arithmetic number, because the mean of its divisors is an integer number (5172408).

Almost surely, 2^71284129 is an apocalyptic number.

It is an amenable number.

71284129 is a deficient number, since it is larger than the sum of its proper divisors (11474399).

71284129 is a wasteful number, since it uses less digits than its factorization.

71284129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its digits is 8064, while the sum is 34.

The square root of 71284129 is about 8442.9928935183. The cubic root of 71284129 is about 414.6333995769.

The spelling of 71284129 in words is "seventy-one million, two hundred eighty-four thousand, one hundred twenty-nine".