527225 has 6 divisors (see below), whose sum is σ = 653790. Its totient is φ = 421760.

The previous prime is 527209. The next prime is 527237. The reversal of 527225 is 522725.

527225 = 44² + 45² + ... + 118².

It can be written as a sum of positive squares in 3 ways, for example, as 162409 + 364816 = 403^2 + 604^2 .

It is not a de Polignac number, because 527225 - 2⁴ = 527209 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁵ + 2 + 2¹⁶ + 7⁴ + 2¹⁶ + 5⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 527225.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10520 + ... + 10569.

It is an arithmetic number, because the mean of its divisors is an integer number (108965).

2⁵²⁷²²⁵ is an apocalyptic number.

It is an amenable number.

527225 is a deficient number, since it is larger than the sum of its proper divisors (126565).

527225 is a wasteful number, since it uses less digits than its factorization.

527225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21099 (or 21094 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 527225 is about 726.1026098287. The cubic root of 527225 is about 80.7852360863.

Subtracting from 527225 its product of digits (1400), we obtain a triangular number (525825 = T₁₀₂₅).

The spelling of 527225 in words is "five hundred twenty-seven thousand, two hundred twenty-five".