52117 has 8 divisors (see below), whose sum is σ = 59360. Its totient is φ = 45360.

The previous prime is 52103. The next prime is 52121. The reversal of 52117 is 71125.

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

It is a cyclic number.

It is not a de Polignac number, because 52117 - 2¹¹ = 50069 is a prime.

It is a Duffinian number.

52117 is a modest number, since divided by 117 gives 52 as remainder.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52127) 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, 142 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (7420).

2⁵²¹¹⁷ is an apocalyptic number.

It is an amenable number.

52117 is a deficient number, since it is larger than the sum of its proper divisors (7243).

52117 is a wasteful number, since it uses less digits than its factorization.

52117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 70, while the sum is 16.

The square root of 52117 is about 228.2914803491. The cubic root of 52117 is about 37.3530844327.

It can be divided in two parts, 52 and 117, that multiplied together give a square (6084 = 78²).

The spelling of 52117 in words is "fifty-two thousand, one hundred seventeen".