63337 has 2 divisors, whose sum is σ = 63338. Its totient is φ = 63336.

The previous prime is 63331. The next prime is 63347. The reversal of 63337 is 73336.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 15376 = 219^2 + 124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-63337 is a prime.

It is not a weakly prime, because it can be changed into another prime (63331) 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 as a sum of consecutive naturals, namely, 31668 + 31669.

It is an arithmetic number, because the mean of its divisors is an integer number (31669).

2⁶³³³⁷ is an apocalyptic number.

It is an amenable number.

63337 is a deficient number, since it is larger than the sum of its proper divisors (1).

63337 is an equidigital number, since it uses as much as digits as its factorization.

63337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 22.

The square root of 63337 is about 251.6684326649. The cubic root of 63337 is about 39.8613952730.

Subtracting 63337 from its reverse (73336), we obtain a palindrome (9999).

It can be divided in two parts, 63 and 337, that added together give a square (400 = 20²).

The spelling of 63337 in words is "sixty-three thousand, three hundred thirty-seven".