53307 has 6 divisors (see below), whose sum is σ = 77012. Its totient is φ = 35532.

The previous prime is 53299. The next prime is 53309. The reversal of 53307 is 70335.

53307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53307 - 2³ = 53299 is a prime.

It is a Duffinian number.

53307 is a lucky number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 53307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53307.

It is not an unprimeable number, because it can be changed into a prime (53309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2953 + ... + 2970.

2⁵³³⁰⁷ is an apocalyptic number.

53307 is a deficient number, since it is larger than the sum of its proper divisors (23705).

53307 is a wasteful number, since it uses less digits than its factorization.

53307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 53307 is about 230.8830872974. The cubic root of 53307 is about 37.6352449815.

The spelling of 53307 in words is "fifty-three thousand, three hundred seven".