164871441 has 24 divisors (see below), whose sum is σ = 277964544. Its totient is φ = 92206080.

The previous prime is 164871401. The next prime is 164871451. The reversal of 164871441 is 144178461.

164871441 is a `hidden beast` number, since 1 + 648 + 7 + 1 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 164871441 - 2¹³ = 164863249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164871396 and 164871405.

It is not an unprimeable number, because it can be changed into a prime (164871401) 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, 24880 + ... + 30801.

It is an arithmetic number, because the mean of its divisors is an integer number (11581856).

Almost surely, 2^164871441 is an apocalyptic number.

It is an amenable number.

164871441 is a deficient number, since it is larger than the sum of its proper divisors (113093103).

164871441 is a wasteful number, since it uses less digits than its factorization.

164871441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55741 (or 55738 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 164871441 is about 12840.2274512565. The cubic root of 164871441 is about 548.3381694947.

The spelling of 164871441 in words is "one hundred sixty-four million, eight hundred seventy-one thousand, four hundred forty-one".