71005 has 8 divisors (see below), whose sum is σ = 93024. Its totient is φ = 51600.

The previous prime is 70999. The next prime is 71011. The reversal of 71005 is 50017.

It is an interprime number because it is at equal distance from previous prime (70999) and next prime (71011).

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

It is not a de Polignac number, because 71005 - 2³ = 70997 is a prime.

It is a Duffinian number.

71005 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2⁷¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

71005 is a deficient number, since it is larger than the sum of its proper divisors (22019).

71005 is a wasteful number, since it uses less digits than its factorization.

71005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 71005 is about 266.4676340571. The cubic root of 71005 is about 41.4091494944.

The spelling of 71005 in words is "seventy-one thousand, five".