63537 has 4 divisors (see below), whose sum is σ = 84720. Its totient is φ = 42356.

The previous prime is 63533. The next prime is 63541. The reversal of 63537 is 73536.

63537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (63533) and next prime (63541).

It is a cyclic number.

It is not a de Polignac number, because 63537 - 2² = 63533 is a prime.

It is a D-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 63537.

It is not an unprimeable number, because it can be changed into a prime (63533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10587 + ... + 10592.

It is an arithmetic number, because the mean of its divisors is an integer number (21180).

2⁶³⁵³⁷ is an apocalyptic number.

It is an amenable number.

63537 is a deficient number, since it is larger than the sum of its proper divisors (21183).

63537 is a wasteful number, since it uses less digits than its factorization.

63537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21182.

The product of its digits is 1890, while the sum is 24.

The square root of 63537 is about 252.0654676865. The cubic root of 63537 is about 39.9033081220.

Subtracting 63537 from its reverse (73536), we obtain a palindrome (9999).

The spelling of 63537 in words is "sixty-three thousand, five hundred thirty-seven".