164087 has 8 divisors (see below), whose sum is σ = 204672. Its totient is φ = 127800.

The previous prime is 164071. The next prime is 164089. The reversal of 164087 is 780461.

164087 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164087 - 2⁴ = 164071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (25584).

2¹⁶⁴⁰⁸⁷ is an apocalyptic number.

164087 is a deficient number, since it is larger than the sum of its proper divisors (40585).

164087 is a wasteful number, since it uses less digits than its factorization.

164087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 164087 is about 405.0765359781. The cubic root of 164087 is about 54.7467141471.

The spelling of 164087 in words is "one hundred sixty-four thousand, eighty-seven".