164831 has 2 divisors, whose sum is σ = 164832. Its totient is φ = 164830.

The previous prime is 164821. The next prime is 164837. The reversal of 164831 is 138461.

It is a strong prime.

It is an emirp because it is prime and its reverse (138461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164831 - 2⁶ = 164767 is a prime.

It is a super-2 number, since 2×164831² = 54338517122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164797 and 164806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164837) 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, 82415 + 82416.

It is an arithmetic number, because the mean of its divisors is an integer number (82416).

2¹⁶⁴⁸³¹ is an apocalyptic number.

164831 is a deficient number, since it is larger than the sum of its proper divisors (1).

164831 is an equidigital number, since it uses as much as digits as its factorization.

164831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 164831 is about 405.9938423178. The cubic root of 164831 is about 54.8293332222.

The spelling of 164831 in words is "one hundred sixty-four thousand, eight hundred thirty-one".