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63636 = 2235303

63636 has 12 divisors (see below), whose sum is σ = 148512. Its totient is φ = 21208.

The previous prime is 63629. The next prime is 63647.

63636 is nontrivially palindromic in base 10.

63636 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

63636 is an undulating number in base 10.

It is a congruent number.

It is an unprimeable number.

63636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

263636 is an apocalyptic number.

It is an amenable number.

63636 is an abundant number, since it is smaller than the sum of its proper divisors (84876).

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 (74256).

63636 is a wasteful number, since it uses less digits than its factorization.

63636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5308 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 63636 is about 252.2617688038. The cubic root of 63636 is about 39.9240224433.

The spelling of 63636 in words is "sixty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 5303 10606 15909 21212 31818 63636