52617 has 4 divisors (see below), whose sum is σ = 70160. Its totient is φ = 35076.

The previous prime is 52609. The next prime is 52627. The reversal of 52617 is 71625.

52617 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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.

It is not a de Polignac number, because 52617 - 2³ = 52609 is a prime.

It is a D-number.

It is a Duffinian number.

52617 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 52593 and 52602.

It is not an unprimeable number, because it can be changed into a prime (52627) 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, 8767 + ... + 8772.

It is an arithmetic number, because the mean of its divisors is an integer number (17540).

2⁵²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

52617 is a deficient number, since it is larger than the sum of its proper divisors (17543).

52617 is a wasteful number, since it uses less digits than its factorization.

52617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542.

The product of its digits is 420, while the sum is 21.

The square root of 52617 is about 229.3839575908. The cubic root of 52617 is about 37.4721571102.

The spelling of 52617 in words is "fifty-two thousand, six hundred seventeen".