827725 has 12 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 654080.

The previous prime is 827719. The next prime is 827737. The reversal of 827725 is 527728.

It can be written as a sum of positive squares in 6 ways, for example, as 30276 + 797449 = 174^2 + 893^2 .

It is not a de Polignac number, because 827725 - 2⁵ = 827693 is a prime.

It is a d-powerful number, because it can be written as 8 + 2² + 7² + 7⁷ + 2¹² + 5² .

It is a Duffinian number.

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, 2679 + ... + 2971.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

2⁸²⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

827725 is a deficient number, since it is larger than the sum of its proper divisors (211271).

827725 is a wasteful number, since it uses less digits than its factorization.

827725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 827725 is about 909.7939327122. The cubic root of 827725 is about 93.8920217797.

The spelling of 827725 in words is "eight hundred twenty-seven thousand, seven hundred twenty-five".