63945 has 36 divisors (see below), whose sum is σ = 133380. Its totient is φ = 28224.

The previous prime is 63929. The next prime is 63949. The reversal of 63945 is 54936.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 35721 = 168^2 + 189^2 .

It is not a de Polignac number, because 63945 - 2⁴ = 63929 is a prime.

63945 is a Rhonda number in base 14.

Its product of digits (3240) is a multiple of the sum of its prime factors (54).

63945 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2191 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

63945 is a Friedman number, since it can be written as 63*(4^5-9), using all its digits and the basic arithmetic operations.

2⁶³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

63945 is an abundant number, since it is smaller than the sum of its proper divisors (69435).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

63945 is a wasteful number, since it uses less digits than its factorization.

63945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 63945 is about 252.8734861546. The cubic root of 63945 is about 39.9885383828.

Subtracting from 63945 its reverse (54936), we obtain a palindrome (9009).

The spelling of 63945 in words is "sixty-three thousand, nine hundred forty-five".