427825 has 12 divisors (see below), whose sum is σ = 538780. Its totient is φ = 336960.

The previous prime is 427813. The next prime is 427849. The reversal of 427825 is 528724.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 418609 = 96^2 + 647^2 .

It is not a de Polignac number, because 427825 - 2¹⁷ = 296753 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

427825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 427793 and 427802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2647 + ... + 2803.

2⁴²⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

427825 is a deficient number, since it is larger than the sum of its proper divisors (110955).

427825 is a wasteful number, since it uses less digits than its factorization.

427825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 427825 is about 654.0833280248. The cubic root of 427825 is about 75.3509478393.

The spelling of 427825 in words is "four hundred twenty-seven thousand, eight hundred twenty-five".