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162971 is a prime number

162971 has 2 divisors, whose sum is σ = 162972. Its totient is φ = 162970.

The previous prime is 162947. The next prime is 162973. The reversal of 162971 is 179261.

It is a strong prime.

It is an emirp because it is prime and its reverse (179261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 162971 - 26 = 162907 is a prime.

It is a Sophie Germain prime.

Together with 162973, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 162971.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162971.

It is not a weakly prime, because it can be changed into another prime (162973) 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, 81485 + 81486.

It is an arithmetic number, because the mean of its divisors is an integer number (81486).

2162971 is an apocalyptic number.

162971 is a deficient number, since it is larger than the sum of its proper divisors (1).

162971 is an equidigital number, since it uses as much as digits as its factorization.

162971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 26.

The square root of 162971 is about 403.6966683043. The cubic root of 162971 is about 54.6223159683.

Subtracting 162971 from its reverse (179261), we obtain a triangular number (16290 = T180).

The spelling of 162971 in words is "one hundred sixty-two thousand, nine hundred seventy-one".