164340225 has 48 divisors (see below), whose sum is σ = 345037440. Its totient is φ = 75124800.

The previous prime is 164340223. The next prime is 164340251. The reversal of 164340225 is 522043461.

164340225 is a `hidden beast` number, since 1 + 6 + 434 + 0 + 225 = 666.

It is not a de Polignac number, because 164340225 - 2¹ = 164340223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164340223) 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 47 ways as a sum of consecutive naturals, for example, 12666 + ... + 22115.

It is an arithmetic number, because the mean of its divisors is an integer number (7188280).

Almost surely, 2^164340225 is an apocalyptic number.

164340225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164340225 is an abundant number, since it is smaller than the sum of its proper divisors (180697215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164340225 is a wasteful number, since it uses less digits than its factorization.

164340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34807 (or 34796 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164340225 is about 12819.5251472120. The cubic root of 164340225 is about 547.7486204299.

Adding to 164340225 its reverse (522043461), we get a palindrome (686383686).

The spelling of 164340225 in words is "one hundred sixty-four million, three hundred forty thousand, two hundred twenty-five".