63738 has 12 divisors (see below), whose sum is σ = 138138. Its totient is φ = 21240.

The previous prime is 63737. The next prime is 63743. The reversal of 63738 is 83736.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56169 + 7569 = 237^2 + 87^2 .

It is not an unprimeable number, because it can be changed into a prime (63737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753 + ... + 1788.

2⁶³⁷³⁸ is an apocalyptic number.

63738 is an abundant number, since it is smaller than the sum of its proper divisors (74400).

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

63738 is a wasteful number, since it uses less digits than its factorization.

63738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3546 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 63738 is about 252.4638587996. The cubic root of 63738 is about 39.9453420133.

The spelling of 63738 in words is "sixty-three thousand, seven hundred thirty-eight".