30966 has 16 divisors (see below), whose sum is σ = 66864. Its totient is φ = 9504.

The previous prime is 30949. The next prime is 30971. The reversal of 30966 is 66903.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

30966 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 7 ways as a sum of consecutive naturals, for example, 121 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (4179).

2³⁰⁹⁶⁶ is an apocalyptic number.

30966 is an abundant number, since it is smaller than the sum of its proper divisors (35898).

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 (33432).

30966 is a wasteful number, since it uses less digits than its factorization.

30966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30966 is about 175.9715886159. The cubic root of 30966 is about 31.4023177052.

Subtracting 30966 from its reverse (66903), we obtain a cube (35937 = 33³).

The spelling of 30966 in words is "thirty thousand, nine hundred sixty-six".