63541 has 2 divisors, whose sum is σ = 63542. Its totient is φ = 63540.

The previous prime is 63533. The next prime is 63559. The reversal of 63541 is 14536.

63541 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 3025 = 246^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 63541 - 2³ = 63533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31770 + 31771.

It is an arithmetic number, because the mean of its divisors is an integer number (31771).

2⁶³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

63541 is a deficient number, since it is larger than the sum of its proper divisors (1).

63541 is an equidigital number, since it uses as much as digits as its factorization.

63541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 63541 is about 252.0734020082. The cubic root of 63541 is about 39.9041454813.

It can be divided in two parts, 635 and 41, that added together give a palindrome (676).

The spelling of 63541 in words is "sixty-three thousand, five hundred forty-one".