63345 has 16 divisors (see below), whose sum is σ = 104832. Its totient is φ = 32640.

The previous prime is 63337. The next prime is 63347. The reversal of 63345 is 54336.

It is not a de Polignac number, because 63345 - 2³ = 63337 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63345.

It is not an unprimeable number, because it can be changed into a prime (63347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁶³³⁴⁵ is an apocalyptic number.

It is an amenable number.

63345 is a deficient number, since it is larger than the sum of its proper divisors (41487).

63345 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (63344) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (152).

63345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 1080, while the sum is 21.

The square root of 63345 is about 251.6843260912. The cubic root of 63345 is about 39.8630734797.

Subtracting from 63345 its reverse (54336), we obtain a palindrome (9009).

The spelling of 63345 in words is "sixty-three thousand, three hundred forty-five".