164025 has 27 divisors (see below), whose sum is σ = 305071. Its totient is φ = 87480.

The previous prime is 164023. The next prime is 164039. The reversal of 164025 is 520461.

Adding to 164025 its reverse (520461), we get a palindrome (684486).

164025 = T_{404} + T_{405}.

It is a happy number.

The square root of 164025 is 405.

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

164025 is a *`hidden beast`* number, since 1 + 640 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 104976 = 243^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 164025 - 2^{1} = 164023 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 163989 and 164007.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 164025.

It is not an unprimeable number, because it can be changed into a prime (164023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32803 + ... + 32807.

164025 is a Friedman number, since it can be written as 405^2*1^6, using all its digits and the basic arithmetic operations.

2^{164025} is an apocalyptic number.

164025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164025 is the 405-th square number.

164025 is the 203-rd centered octagonal number.

It is an amenable number.

164025 is a deficient number, since it is larger than the sum of its proper divisors (141046).

164025 is an frugal number, since it uses more digits than its factorization.

164025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 164025 is about 54.7398179602.

The spelling of 164025 in words is "one hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2187 3645 6075 6561 10935 18225 32805 54675 164025

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