48312 has 48 divisors (see below), whose sum is σ = 145080. Its totient is φ = 14400.

The previous prime is 48311. The next prime is 48313. The reversal of 48312 is 21384.

Added to its reverse (21384) it gives a square (69696 = 264²).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48311) and next prime (48313).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48312.

It is not an unprimeable number, because it can be changed into a prime (48311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762 + ... + 822.

2⁴⁸³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

48312 is an abundant number, since it is smaller than the sum of its proper divisors (96768).

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

48312 is a wasteful number, since it uses less digits than its factorization.

48312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 48312 is about 219.7999090082. The cubic root of 48312 is about 36.4209837550.

Adding to 48312 its reverse (21384), we get a palindrome (69696).

The spelling of 48312 in words is "forty-eight thousand, three hundred twelve".