30967 has 4 divisors (see below), whose sum is σ = 31320. Its totient is φ = 30616.

The previous prime is 30949. The next prime is 30971. The reversal of 30967 is 76903.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 76903 = 53 ⋅1451.

It is a cyclic number.

It is not a de Polignac number, because 30967 - 2⁷ = 30839 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30937) by changing a digit.

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, 84 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

2³⁰⁹⁶⁷ is an apocalyptic number.

30967 is a deficient number, since it is larger than the sum of its proper divisors (353).

30967 is a wasteful number, since it uses less digits than its factorization.

30967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 30967 is about 175.9744299607. The cubic root of 30967 is about 31.4026557317.

The spelling of 30967 in words is "thirty thousand, nine hundred sixty-seven".