30944 has 12 divisors (see below), whose sum is σ = 60984. Its totient is φ = 15456.

The previous prime is 30941. The next prime is 30949. The reversal of 30944 is 44903.

30944 = T₂₇ + T₂₈ + ... + T₅₈.

It is a super-2 number, since 2×30944² = 1915062272, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30944.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (5082).

2³⁰⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

30944 is a deficient number, since it is larger than the sum of its proper divisors (30040).

30944 is an equidigital number, since it uses as much as digits as its factorization.

30944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30944 is about 175.9090674184. The cubic root of 30944 is about 31.3948792818.

It can be divided in two parts, 309 and 44, that added together give a palindrome (353).

The spelling of 30944 in words is "thirty thousand, nine hundred forty-four".