164407 has 8 divisors (see below), whose sum is σ = 183600. Its totient is φ = 146304.

The previous prime is 164387. The next prime is 164413. The reversal of 164407 is 704461.

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 164407 - 2⁷ = 164279 is a prime.

It is a super-3 number, since 3×164407³ = 13331596748181429, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164447) 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, 69 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2¹⁶⁴⁴⁰⁷ is an apocalyptic number.

164407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164407 is a deficient number, since it is larger than the sum of its proper divisors (19193).

164407 is a wasteful number, since it uses less digits than its factorization.

164407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 164407 is about 405.4713306758. The cubic root of 164407 is about 54.7822797768.

Adding to 164407 its reverse (704461), we get a palindrome (868868).

The spelling of 164407 in words is "one hundred sixty-four thousand, four hundred seven".