164583241 has 3 divisors (see below), whose sum is σ = 164596071. Its totient is φ = 164570412.

The previous prime is 164583229. The next prime is 164583271. The reversal of 164583241 is 142385461.

The square root of 164583241 is 12829.

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, and also an emirpimes, since its reverse is a distinct semiprime: 142385461 = 4729 ⋅30109.

It can be written as a sum of positive squares in only one way, i.e., 129299641 + 35283600 = 11371^2 + 5940^2 .

It is not a de Polignac number, because 164583241 - 2¹³ = 164575049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164583197 and 164583206.

It is not an unprimeable number, because it can be changed into a prime (164583271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6415 + ... + 19243.

It is an arithmetic number, because the mean of its divisors is an integer number (54865357).

Almost surely, 2^164583241 is an apocalyptic number.

164583241 is the 12829-th square number.

164583241 is the 6415-th centered octagonal number.

It is an amenable number.

164583241 is a deficient number, since it is larger than the sum of its proper divisors (12830).

164583241 is an frugal number, since it uses more digits than its factorization.

164583241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25658 (or 12829 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The cubic root of 164583241 is about 548.0184795392.

The spelling of 164583241 in words is "one hundred sixty-four million, five hundred eighty-three thousand, two hundred forty-one".