63307 has 8 divisors (see below), whose sum is σ = 68400. Its totient is φ = 58464.

The previous prime is 63299. The next prime is 63311. The reversal of 63307 is 70336.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 63307 - 2³ = 63299 is a prime.

It is a Duffinian number.

63307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (63317) 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 7 ways as a sum of consecutive naturals, for example, 1044 + ... + 1102.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁶³³⁰⁷ is an apocalyptic number.

63307 is a deficient number, since it is larger than the sum of its proper divisors (5093).

63307 is a wasteful number, since it uses less digits than its factorization.

63307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 63307 is about 251.6088233747. The cubic root of 63307 is about 39.8551007389.

The spelling of 63307 in words is "sixty-three thousand, three hundred seven".