71641 has 4 divisors (see below), whose sum is σ = 73984. Its totient is φ = 69300.

The previous prime is 71633. The next prime is 71647. The reversal of 71641 is 14617.

It is a happy number.

71641 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 14617 = 47 ⋅311.

It is a cyclic number.

It is not a de Polignac number, because 71641 - 2³ = 71633 is a prime.

It is a Duffinian number.

71641 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (71647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1125 + ... + 1186.

It is an arithmetic number, because the mean of its divisors is an integer number (18496).

2⁷¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

71641 is a deficient number, since it is larger than the sum of its proper divisors (2343).

71641 is a wasteful number, since it uses less digits than its factorization.

71641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342.

The product of its digits is 168, while the sum is 19.

The square root of 71641 is about 267.6583643378. The cubic root of 71641 is about 41.5324176955.

It can be divided in two parts, 716 and 41, that added together give a palindrome (757).

The spelling of 71641 in words is "seventy-one thousand, six hundred forty-one".