32971 has 2 divisors, whose sum is σ = 32972. Its totient is φ = 32970.

The previous prime is 32969. The next prime is 32983. The reversal of 32971 is 17923.

It is a weak prime.

It is an emirp because it is prime and its reverse (17923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32971 - 2¹ = 32969 is a prime.

Together with 32969, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (32911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16485 + 16486.

It is an arithmetic number, because the mean of its divisors is an integer number (16486).

2³²⁹⁷¹ is an apocalyptic number.

32971 is a deficient number, since it is larger than the sum of its proper divisors (1).

32971 is an equidigital number, since it uses as much as digits as its factorization.

32971 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 22.

The square root of 32971 is about 181.5791838290. The cubic root of 32971 is about 32.0659447387.

It can be divided in two parts, 329 and 71, that added together give a square (400 = 20²).

The spelling of 32971 in words is "thirty-two thousand, nine hundred seventy-one".