164737225 has 27 divisors (see below), whose sum is σ = 218443701. Its totient is φ = 123216000.

The previous prime is 164737219. The next prime is 164737229. The reversal of 164737225 is 522737461.

It is a happy number.

The square root of 164737225 is 12835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3853369 + 160883856 = 1963^2 + 12684^2 .

It is not a de Polignac number, because 164737225 - 2¹⁷ = 164606153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164737229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1090900 + ... + 1091050.

Almost surely, 2^164737225 is an apocalyptic number.

164737225 is the 12835-th square number.

164737225 is the 6418-th centered octagonal number.

It is an amenable number.

164737225 is a deficient number, since it is larger than the sum of its proper divisors (53706476).

164737225 is an equidigital number, since it uses as much as digits as its factorization.

164737225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The cubic root of 164737225 is about 548.1893348736.

The spelling of 164737225 in words is "one hundred sixty-four million, seven hundred thirty-seven thousand, two hundred twenty-five".