30712 has 16 divisors (see below), whose sum is σ = 63000. Its totient is φ = 13920.
The previous prime is 30707. The next prime is 30713. The reversal of 30712 is 21703.
It is a junction number, because it is equal to n+sod(n) for n = 30692 and 30701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30713) by changing a digit.
30712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
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 3 ways as a sum of consecutive naturals, for example, 87 + ... + 262.
230712 is an apocalyptic number.
30712 is the 88-th decagonal number.
It is an amenable number.
30712 is an abundant number, since it is smaller than the sum of its proper divisors (32288).
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 (31500).
30712 is a wasteful number, since it uses less digits than its factorization.
30712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 362 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 13.
The square root of 30712 is about 175.2483951424. The cubic root of 30712 is about 31.3162222352.
Subtracting from 30712 its reverse (21703), we obtain a palindrome (9009).
The spelling of 30712 in words is "thirty thousand, seven hundred twelve".
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