30945 has 8 divisors (see below), whose sum is σ = 49536. Its totient is φ = 16496.

The previous prime is 30941. The next prime is 30949. The reversal of 30945 is 54903.

30945 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30941) and next prime (30949).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 30945 - 2² = 30941 is a prime.

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

30945 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (30941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (6192).

2³⁰⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

30945 is a deficient number, since it is larger than the sum of its proper divisors (18591).

30945 is a wasteful number, since it uses less digits than its factorization.

30945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 30945 is about 175.9119097730. The cubic root of 30945 is about 31.3952174684.

The spelling of 30945 in words is "thirty thousand, nine hundred forty-five".