827745 has 16 divisors (see below), whose sum is σ = 1337280. Its totient is φ = 437184.

The previous prime is 827741. The next prime is 827767. The reversal of 827745 is 547728.

It is not a de Polignac number, because 827745 - 2² = 827741 is a prime.

It is a d-powerful number, because it can be written as 8³ + 2⁹ + 7² + 7⁷ + 4 + 5⁵ .

It is not an unprimeable number, because it can be changed into a prime (827741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (83580).

2⁸²⁷⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

827745 is a deficient number, since it is larger than the sum of its proper divisors (509535).

827745 is a wasteful number, since it uses less digits than its factorization.

827745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544.

The product of its digits is 15680, while the sum is 33.

The square root of 827745 is about 909.8049241458. The cubic root of 827745 is about 93.8927779992.

The spelling of 827745 in words is "eight hundred twenty-seven thousand, seven hundred forty-five".