319225 has 9 divisors (see below), whose sum is σ = 399373. Its totient is φ = 253120.

The previous prime is 319223. The next prime is 319237. The reversal of 319225 is 522913.

The square root of 319225 is 565.

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

It can be written as a sum of positive squares in 4 ways, for example, as 162409 + 156816 = 403^2 + 396^2 .

It is not a de Polignac number, because 319225 - 2¹ = 319223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 319196 and 319205.

It is not an unprimeable number, because it can be changed into a prime (319223) 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 8 ways as a sum of consecutive naturals, for example, 2769 + ... + 2881.

319225 is a Friedman number, since it can be written as (53+(2*1)^9)^2, using all its digits and the basic arithmetic operations.

2³¹⁹²²⁵ is an apocalyptic number.

319225 is the 565-th square number.

319225 is the 283-rd centered octagonal number.

It is an amenable number.

319225 is a deficient number, since it is larger than the sum of its proper divisors (80148).

319225 is an equidigital number, since it uses as much as digits as its factorization.

319225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The cubic root of 319225 is about 68.3437752567.

It can be divided in two parts, 3192 and 25, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 319225 in words is "three hundred nineteen thousand, two hundred twenty-five".