164993 has 4 divisors (see below), whose sum is σ = 166320. Its totient is φ = 163668.

The previous prime is 164987. The next prime is 164999. The reversal of 164993 is 399461.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399461 = 53 ⋅7537.

It is an interprime number because it is at equal distance from previous prime (164987) and next prime (164999).

It is a cyclic number.

It is not a de Polignac number, because 164993 - 2¹⁴ = 148609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2¹⁶⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

164993 is a deficient number, since it is larger than the sum of its proper divisors (1327).

164993 is a wasteful number, since it uses less digits than its factorization.

164993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326.

The product of its digits is 5832, while the sum is 32.

The square root of 164993 is about 406.1933037360. The cubic root of 164993 is about 54.8472898841.

Adding to 164993 its sum of digits (32), we get a triangular number (165025 = T₅₇₄).

The spelling of 164993 in words is "one hundred sixty-four thousand, nine hundred ninety-three".