164891281 has 3 divisors (see below), whose sum is σ = 164904123. Its totient is φ = 164878440.

The previous prime is 164891273. The next prime is 164891327. The reversal of 164891281 is 182198461.

The square root of 164891281 is 12841.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 77281681 + 87609600 = 8791^2 + 9360^2 .

It is not a de Polignac number, because 164891281 - 2³ = 164891273 is a prime.

It is a super-2 number, since 2×164891281² = 54378269099641922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164891231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6421 + ... + 19261.

It is an arithmetic number, because the mean of its divisors is an integer number (54968041).

Almost surely, 2^164891281 is an apocalyptic number.

164891281 is the 12841-st square number.

164891281 is the 6421-st centered octagonal number.

It is an amenable number.

164891281 is a deficient number, since it is larger than the sum of its proper divisors (12842).

164891281 is an frugal number, since it uses more digits than its factorization.

164891281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25682 (or 12841 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The cubic root of 164891281 is about 548.3601635867.

It can be divided in two parts, 1648 and 91281, that added together give a palindrome (92929).

The spelling of 164891281 in words is "one hundred sixty-four million, eight hundred ninety-one thousand, two hundred eighty-one".