30331 has 6 divisors (see below), whose sum is σ = 35340. Its totient is φ = 25956.

The previous prime is 30323. The next prime is 30341. The reversal of 30331 is 13303.

It is a happy number.

It is not a de Polignac number, because 30331 - 2³ = 30323 is a prime.

It is a super-2 number, since 2×30331² = 1839939122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (30341) 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 5 ways as a sum of consecutive naturals, for example, 261 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (5890).

2³⁰³³¹ is an apocalyptic number.

30331 is a deficient number, since it is larger than the sum of its proper divisors (5009).

30331 is an equidigital number, since it uses as much as digits as its factorization.

30331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 30331 is about 174.1579742647. The cubic root of 30331 is about 31.1861844377.

Adding to 30331 its reverse (13303), we get a palindrome (43634).

It can be divided in two parts, 30 and 331, that added together give a square (361 = 19²).

The spelling of 30331 in words is "thirty thousand, three hundred thirty-one".