164437 has 12 divisors (see below), whose sum is σ = 204960. Its totient is φ = 129168.

The previous prime is 164431. The next prime is 164443. The reversal of 164437 is 734461.

It is an interprime number because it is at equal distance from previous prime (164431) and next prime (164443).

It is not a de Polignac number, because 164437 - 2³ = 164429 is a prime.

It is a super-3 number, since 3×164437³ = 13338896088604359, which contains 333 as substring.

It is a d-powerful number, because it can be written as 1 + 6⁶ + 4³ + 4³ + 3 + 7⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164431) 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 11 ways as a sum of consecutive naturals, for example, 1114 + ... + 1252.

It is an arithmetic number, because the mean of its divisors is an integer number (17080).

2¹⁶⁴⁴³⁷ is an apocalyptic number.

It is an amenable number.

164437 is a deficient number, since it is larger than the sum of its proper divisors (40523).

164437 is a wasteful number, since it uses less digits than its factorization.

164437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 164437 is about 405.5083229725. The cubic root of 164437 is about 54.7856116877.

Adding to 164437 its reverse (734461), we get a palindrome (898898).

It can be divided in two parts, 1644 and 37, that added together give a square (1681 = 41²).

The spelling of 164437 in words is "one hundred sixty-four thousand, four hundred thirty-seven".