71065 has 8 divisors (see below), whose sum is σ = 87048. Its totient is φ = 55680.

The previous prime is 71059. The next prime is 71069. The reversal of 71065 is 56017.

71065 = 188² + 189².

It can be written as a sum of positive squares in 4 ways, for example, as 1369 + 69696 = 37^2 + 264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71065 - 2⁷ = 70937 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (71069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2⁷¹⁰⁶⁵ is an apocalyptic number.

71065 is the 189-th centered square number.

It is an amenable number.

71065 is a deficient number, since it is larger than the sum of its proper divisors (15983).

71065 is a wasteful number, since it uses less digits than its factorization.

71065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 71065 is about 266.5801943131. The cubic root of 71065 is about 41.4208099383.

The spelling of 71065 in words is "seventy-one thousand, sixty-five".