52308 has 18 divisors (see below), whose sum is σ = 132314. Its totient is φ = 17424.

The previous prime is 52301. The next prime is 52313. The reversal of 52308 is 80325.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 324 = 228^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×52308² = 5472253728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52301) by changing a digit.

52308 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 in 5 ways as a sum of consecutive naturals, for example, 691 + ... + 762.

2⁵²³⁰⁸ is an apocalyptic number.

It is an amenable number.

52308 is an abundant number, since it is smaller than the sum of its proper divisors (80006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52308 is a wasteful number, since it uses less digits than its factorization.

52308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52308 is about 228.7094226306. The cubic root of 52308 is about 37.3986597173.

Adding to 52308 its sum of digits (18), we get a triangular number (52326 = T₃₂₃).

The spelling of 52308 in words is "fifty-two thousand, three hundred eight".