30312 has 24 divisors (see below), whose sum is σ = 82290. Its totient is φ = 10080.

The previous prime is 30307. The next prime is 30313. The reversal of 30312 is 21303.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 36 = 174^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30294 and 30303.

It is not an unprimeable number, because it can be changed into a prime (30313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 282.

2³⁰³¹² is an apocalyptic number.

It is an amenable number.

30312 is an abundant number, since it is smaller than the sum of its proper divisors (51978).

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

30312 is a wasteful number, since it uses less digits than its factorization.

30312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30312 is about 174.1034175426. The cubic root of 30312 is about 31.1796711755.

Adding to 30312 its reverse (21303), we get a palindrome (51615).

Subtracting from 30312 its reverse (21303), we obtain a palindrome (9009).

The spelling of 30312 in words is "thirty thousand, three hundred twelve".