63500 has 24 divisors (see below), whose sum is σ = 139776. Its totient is φ = 25200.

The previous prime is 63499. The next prime is 63521. The reversal of 63500 is 536.

It is a happy number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2⁶³⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

63500 is an abundant number, since it is smaller than the sum of its proper divisors (76276).

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

63500 is a wasteful number, since it uses less digits than its factorization.

63500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 63500 is about 251.9920633671. The cubic root of 63500 is about 39.8955608824.

The spelling of 63500 in words is "sixty-three thousand, five hundred".