275625 has 45 divisors (see below), whose sum is σ = 578721. Its totient is φ = 126000.

The previous prime is 275623. The next prime is 275641. The reversal of 275625 is 526572.

The square root of 275625 is 525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 254016 = 147^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 275625 - 2^{1} = 275623 is a prime.

Its product of digits (4200) is a multiple of the sum of its prime divisors (15).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 275625.

It is not an unprimeable number, because it can be changed into a prime (275623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39372 + ... + 39378.

275625 is a Friedman number, since it can be written as (7*(65+5*2))^2, using all its digits and the basic arithmetic operations.

2^{275625} is an apocalyptic number.

275625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

275625 is the 525-th square number.

275625 is the 263-rd centered octagonal number.

It is an amenable number.

275625 is an abundant number, since it is smaller than the sum of its proper divisors (303096).

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

275625 is an equidigital number, since it uses as much as digits as its factorization.

275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 15 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The cubic root of 275625 is about 65.0787998953.

Multiplying 275625 by its product of digits (4200), we get a cube (1157625000 = 1050^{3}).

It can be divided in two parts, 275 and 625, that added together give a square (900 = 30^{2}).

The spelling of 275625 in words is "two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 625 735 875 1125 1225 1575 1875 2205 2625 3675 4375 5625 6125 7875 11025 13125 18375 30625 39375 55125 91875 275625

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