30971 has 2 divisors, whose sum is σ = 30972. Its totient is φ = 30970.

The previous prime is 30949. The next prime is 30977. The reversal of 30971 is 17903.

It is a strong prime.

It is an emirp because it is prime and its reverse (17903) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 30971 - 2¹⁰ = 29947 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (30977) 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 as a sum of consecutive naturals, namely, 15485 + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (15486).

2³⁰⁹⁷¹ is an apocalyptic number.

30971 is a deficient number, since it is larger than the sum of its proper divisors (1).

30971 is an equidigital number, since it uses as much as digits as its factorization.

30971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 30971 is about 175.9857948813. The cubic root of 30971 is about 31.4040077646.

It can be divided in two parts, 30 and 971, that added together give a palindrome (1001).

The spelling of 30971 in words is "thirty thousand, nine hundred seventy-one".