63536841 has 9 divisors (see below), whose sum is σ = 91809991. Its totient is φ = 42341952.

The previous prime is 63536821. The next prime is 63536857. The reversal of 63536841 is 14863536.

The square root of 63536841 is 7971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41409225 + 22127616 = 6435^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 63536841 - 2⁷ = 63536713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63536796 and 63536805.

It is not an unprimeable number, because it can be changed into a prime (63536821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22585 + ... + 25241.

Almost surely, 2^63536841 is an apocalyptic number.

63536841 is the 7971-st square number.

63536841 is the 3986-th centered octagonal number.

It is an amenable number.

63536841 is a deficient number, since it is larger than the sum of its proper divisors (28273150).

63536841 is an frugal number, since it uses more digits than its factorization.

63536841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 2660 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 63536841 is about 399.0327483626.

Multiplying 63536841 by its sum of digits (36), we get a square (2287326276 = 47826²).

The spelling of 63536841 in words is "sixty-three million, five hundred thirty-six thousand, eight hundred forty-one".