71085 has 16 divisors (see below), whose sum is σ = 130176. Its totient is φ = 32448.

The previous prime is 71081. The next prime is 71089. The reversal of 71085 is 58017.

71085 = T₁₃₉ + T₁₄₀ + ... + T₁₄₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71081) and next prime (71089).

It is not a de Polignac number, because 71085 - 2² = 71081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71085.

It is not an unprimeable number, because it can be changed into a prime (71081) 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, 234 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (8136).

2⁷¹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

71085 is a deficient number, since it is larger than the sum of its proper divisors (59091).

71085 is a wasteful number, since it uses less digits than its factorization.

71085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71085 is about 266.6177038383. The cubic root of 71085 is about 41.4246952945.

The spelling of 71085 in words is "seventy-one thousand, eighty-five".