52616 has 8 divisors (see below), whose sum is σ = 98670. Its totient is φ = 26304.

The previous prime is 52609. The next prime is 52627. The reversal of 52616 is 61625.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 23716 = 170^2 + 154^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an unprimeable number.

52616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3281 + ... + 3296.

2⁵²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

52616 is a deficient number, since it is larger than the sum of its proper divisors (46054).

52616 is a wasteful number, since it uses less digits than its factorization.

52616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6579 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 52616 is about 229.3817778290. The cubic root of 52616 is about 37.4719197193.

Subtracting 52616 from its reverse (61625), we obtain a palindrome (9009).

The spelling of 52616 in words is "fifty-two thousand, six hundred sixteen".