827125 has 16 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 609600.

The previous prime is 827087. The next prime is 827129. The reversal of 827125 is 521728.

It can be written as a sum of positive squares in 8 ways, for example, as 288369 + 538756 = 537^2 + 734^2 .

It is not a de Polignac number, because 827125 - 2⁷ = 826997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 827125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827129) 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 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2⁸²⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

827125 is a deficient number, since it is larger than the sum of its proper divisors (286715).

827125 is a wasteful number, since it uses less digits than its factorization.

827125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 827125 is about 909.4641279347. The cubic root of 827125 is about 93.8693295286.

The spelling of 827125 in words is "eight hundred twenty-seven thousand, one hundred twenty-five".