53265 has 16 divisors (see below), whose sum is σ = 88128. Its totient is φ = 27456.

The previous prime is 53239. The next prime is 53267. The reversal of 53265 is 56235.

It is not a de Polignac number, because 53265 - 2⁵ = 53233 is a prime.

It is a Curzon number.

53265 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (5508).

2⁵³²⁶⁵ is an apocalyptic number.

It is an amenable number.

53265 is a deficient number, since it is larger than the sum of its proper divisors (34863).

53265 is a wasteful number, since it uses less digits than its factorization.

53265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 900, while the sum is 21.

The square root of 53265 is about 230.7921142500. The cubic root of 53265 is about 37.6253582524.

The spelling of 53265 in words is "fifty-three thousand, two hundred sixty-five".