164427 has 8 divisors (see below), whose sum is σ = 228864. Its totient is φ = 104808.

The previous prime is 164419. The next prime is 164429. The reversal of 164427 is 724461.

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

It is not a de Polignac number, because 164427 - 2³ = 164419 is a prime.

It is a super-3 number, since 3×164427³ = 13336462679167449, which contains 333 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 164397 and 164406.

It is not an unprimeable number, because it can be changed into a prime (164429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (28608).

2¹⁶⁴⁴²⁷ is an apocalyptic number.

164427 is a deficient number, since it is larger than the sum of its proper divisors (64437).

164427 is a wasteful number, since it uses less digits than its factorization.

164427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409.

The product of its digits is 1344, while the sum is 24.

The square root of 164427 is about 405.4959925819. The cubic root of 164427 is about 54.7845010958.

Adding to 164427 its sum of digits (24), we get a triangular number (164451 = T₅₇₃).

Adding to 164427 its reverse (724461), we get a palindrome (888888).

The spelling of 164427 in words is "one hundred sixty-four thousand, four hundred twenty-seven".