63937 has 4 divisors (see below), whose sum is σ = 67716. Its totient is φ = 60160.

The previous prime is 63929. The next prime is 63949. The reversal of 63937 is 73936.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 39601 + 24336 = 199^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 63937 - 2³ = 63929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63907) 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, 1864 + ... + 1897.

It is an arithmetic number, because the mean of its divisors is an integer number (16929).

2⁶³⁹³⁷ is an apocalyptic number.

It is an amenable number.

63937 is a deficient number, since it is larger than the sum of its proper divisors (3779).

63937 is a wasteful number, since it uses less digits than its factorization.

63937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778.

The product of its digits is 3402, while the sum is 28.

The square root of 63937 is about 252.8576674732. The cubic root of 63937 is about 39.9868706910.

Subtracting 63937 from its reverse (73936), we obtain a palindrome (9999).

It can be divided in two parts, 6393 and 7, that added together give a square (6400 = 80²).

The spelling of 63937 in words is "sixty-three thousand, nine hundred thirty-seven".