52071 has 8 divisors (see below), whose sum is σ = 73584. Its totient is φ = 32640.

The previous prime is 52069. The next prime is 52081. The reversal of 52071 is 17025.

It is a happy number.

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

It is not a de Polignac number, because 52071 - 2¹ = 52069 is a prime.

It is a super-2 number, since 2×52071² = 5422778082, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

52071 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 52071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52021) 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, 460 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (9198).

2⁵²⁰⁷¹ is an apocalyptic number.

52071 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

52071 is a deficient number, since it is larger than the sum of its proper divisors (21513).

52071 is a wasteful number, since it uses less digits than its factorization.

52071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 52071 is about 228.1907097145. The cubic root of 52071 is about 37.3420915535.

Adding to 52071 its reverse (17025), we get a palindrome (69096).

The spelling of 52071 in words is "fifty-two thousand, seventy-one".