30992 has 20 divisors (see below), whose sum is σ = 65100. Its totient is φ = 14208.

The previous prime is 30983. The next prime is 31013. The reversal of 30992 is 29903.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 26896 = 64^2 + 164^2 .

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30992.

It is an unprimeable number.

30992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2³⁰⁹⁹² 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 30992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550).

30992 is an abundant number, since it is smaller than the sum of its proper divisors (34108).

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

30992 is a wasteful number, since it uses less digits than its factorization.

30992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 30992 is about 176.0454486773. The cubic root of 30992 is about 31.4111040285.

Subtracting from 30992 its reverse (29903), we obtain a square (1089 = 33²).

The spelling of 30992 in words is "thirty thousand, nine hundred ninety-two".