164241 has 32 divisors (see below), whose sum is σ = 307200. Its totient is φ = 84240.

The previous prime is 164239. The next prime is 164249. The reversal of 164241 is 142461.

It is not a de Polignac number, because 164241 - 2¹ = 164239 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (164249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2¹⁶⁴²⁴¹ is an apocalyptic number.

164241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164241 is a deficient number, since it is larger than the sum of its proper divisors (142959).

164241 is a wasteful number, since it uses less digits than its factorization.

164241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 164241 is about 405.2665789329. The cubic root of 164241 is about 54.7638358727.

The spelling of 164241 in words is "one hundred sixty-four thousand, two hundred forty-one".