164205025 has 6 divisors (see below), whose sum is σ = 203614262. Its totient is φ = 131364000.

The previous prime is 164204993. The next prime is 164205029. The reversal of 164205025 is 520502461.

It can be written as a sum of positive squares in 3 ways, for example, as 12988816 + 151216209 = 3604^2 + 12297^2 .

It is not a de Polignac number, because 164205025 - 2⁵ = 164204993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 6568201 = 164205025 / (1 + 6 + 4 + 2 + 0 + 5 + 0 + 2 + 5).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164205029) 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 5 ways as a sum of consecutive naturals, for example, 3284076 + ... + 3284125.

Almost surely, 2^164205025 is an apocalyptic number.

It is an amenable number.

164205025 is a deficient number, since it is larger than the sum of its proper divisors (39409237).

164205025 is an equidigital number, since it uses as much as digits as its factorization.

164205025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568211 (or 6568206 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 164205025 is about 12814.2508559806. The cubic root of 164205025 is about 547.5983712930.

Adding to 164205025 its reverse (520502461), we get a palindrome (684707486).

It can be divided in two parts, 164 and 205025, that multiplied together give a triangular number (33624100 = T₈₂₀₀).

The spelling of 164205025 in words is "one hundred sixty-four million, two hundred five thousand, twenty-five".