52305 has 16 divisors (see below), whose sum is σ = 91584. Its totient is φ = 25280.

The previous prime is 52301. The next prime is 52313. The reversal of 52305 is 50325.

It is not a de Polignac number, because 52305 - 2² = 52301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

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

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 15 ways as a sum of consecutive naturals, for example, 7 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (5724).

2⁵²³⁰⁵ is an apocalyptic number.

52305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52305 is a deficient number, since it is larger than the sum of its proper divisors (39279).

52305 is a wasteful number, since it uses less digits than its factorization.

52305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 52305 is about 228.7028639961. The cubic root of 52305 is about 37.3979447334.

The spelling of 52305 in words is "fifty-two thousand, three hundred five".