180625 has 15 divisors (see below), whose sum is σ = 239767. Its totient is φ = 136000.

The previous prime is 180623. The next prime is 180629. The reversal of 180625 is 526081.

It can be divided in two parts, 1806 and 25, that multiplied together give a triangular number (45150 = T_{300}).

180625 = T_{424} + T_{425}.

It is a happy number.

The square root of 180625 is 425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 88209 + 92416 = 297^2 + 304^2 .

It is not a de Polignac number, because 180625 - 2^{1} = 180623 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 180596 and 180605.

It is not an unprimeable number, because it can be changed into a prime (180623) 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 14 ways as a sum of consecutive naturals, for example, 10617 + ... + 10633.

180625 is a Friedman number, since it can be written as (85*(6-1-0))^2, using all its digits and the basic arithmetic operations.

2^{180625} is an apocalyptic number.

180625 is the 425-th square number.

180625 is the 213-rd centered octagonal number.

It is an amenable number.

180625 is a deficient number, since it is larger than the sum of its proper divisors (59142).

180625 is an frugal number, since it uses more digits than its factorization.

180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 180625 is about 56.5274359664.

The spelling of 180625 in words is "one hundred eighty thousand, six hundred twenty-five".

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