164987 has 2 divisors, whose sum is σ = 164988. Its totient is φ = 164986.

The previous prime is 164963. The next prime is 164999. The reversal of 164987 is 789461.

164987 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164987 is a prime.

It is not a weakly prime, because it can be changed into another prime (164387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82493 + 82494.

It is an arithmetic number, because the mean of its divisors is an integer number (82494).

2¹⁶⁴⁹⁸⁷ is an apocalyptic number.

164987 is a deficient number, since it is larger than the sum of its proper divisors (1).

164987 is an equidigital number, since it uses as much as digits as its factorization.

164987 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 164987 is about 406.1859180228. The cubic root of 164987 is about 54.8466250322.

The spelling of 164987 in words is "one hundred sixty-four thousand, nine hundred eighty-seven".