63312 has 20 divisors (see below), whose sum is σ = 163680. Its totient is φ = 21088.

The previous prime is 63311. The next prime is 63313. The reversal of 63312 is 21336.

It is an interprime number because it is at equal distance from previous prime (63311) and next prime (63313).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63291 and 63300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63311) 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, 612 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2⁶³³¹² is an apocalyptic number.

It is an amenable number.

63312 is an abundant number, since it is smaller than the sum of its proper divisors (100368).

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 (81840).

63312 is a wasteful number, since it uses less digits than its factorization.

63312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 63312 is about 251.6187592371. The cubic root of 63312 is about 39.8561499660.

Adding to 63312 its reverse (21336), we get a palindrome (84648).

The spelling of 63312 in words is "sixty-three thousand, three hundred twelve".