164169 has 24 divisors (see below), whose sum is σ = 266760. Its totient is φ = 96768.

The previous prime is 164149. The next prime is 164173. The reversal of 164169 is 961461.

164169 = 22² + 23² + ... + 79².

It can be written as a sum of positive squares in 4 ways, for example, as 81225 + 82944 = 285^2 + 288^2 .

It is not a de Polignac number, because 164169 - 2¹² = 160073 is a prime.

It is a super-2 number, since 2×164169² = 53902921122, which contains 22 as substring.

It is an Ulam number.

164169 is a lucky number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (164149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4419 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2¹⁶⁴¹⁶⁹ is an apocalyptic number.

It is an amenable number.

164169 is a deficient number, since it is larger than the sum of its proper divisors (102591).

164169 is a wasteful number, since it uses less digits than its factorization.

164169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 164169 is about 405.1777387765. The cubic root of 164169 is about 54.7558322429.

It can be divided in two parts, 164 and 169, that added together give a palindrome (333).

The spelling of 164169 in words is "one hundred sixty-four thousand, one hundred sixty-nine".