164461 has 4 divisors (see below), whose sum is σ = 179424. Its totient is φ = 149500.

The previous prime is 164449. The next prime is 164471.

164461 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 164461 - 2⁵ = 164429 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7465 + ... + 7486.

It is an arithmetic number, because the mean of its divisors is an integer number (44856).

2¹⁶⁴⁴⁶¹ is an apocalyptic number.

164461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164461 is a deficient number, since it is larger than the sum of its proper divisors (14963).

164461 is a wasteful number, since it uses less digits than its factorization.

164461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962.

The product of its digits is 576, while the sum is 22.

The square root of 164461 is about 405.5379143804. The cubic root of 164461 is about 54.7882769247.

It can be divided in two parts, 164 and 461, that added together give a 4-th power (625 = 5⁴).

The spelling of 164461 in words is "one hundred sixty-four thousand, four hundred sixty-one".