71001 has 24 divisors (see below), whose sum is σ = 124800. Its totient is φ = 38808.

The previous prime is 70999. The next prime is 71011. The reversal of 71001 is 10017.

It is not a de Polignac number, because 71001 - 2¹ = 70999 is a prime.

It is a super-2 number, since 2×71001² = 10082284002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076 + ... + 3098.

It is an arithmetic number, because the mean of its divisors is an integer number (5200).

2⁷¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

71001 is a deficient number, since it is larger than the sum of its proper divisors (53799).

71001 is a wasteful number, since it uses less digits than its factorization.

71001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 71001 is about 266.4601283494. The cubic root of 71001 is about 41.4083718979.

Adding to 71001 its reverse (10017), we get a palindrome (81018).

It can be divided in two parts, 7 and 1001, that multiplied together give a palindrome (7007).

The spelling of 71001 in words is "seventy-one thousand, one", and thus it is an iban number.