827505 has 48 divisors (see below), whose sum is σ = 1707264. Its totient is φ = 362880.

The previous prime is 827501. The next prime is 827521. The reversal of 827505 is 505728.

It is a happy number.

It is not a de Polignac number, because 827505 - 2² = 827501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11620 + ... + 11690.

It is an arithmetic number, because the mean of its divisors is an integer number (35568).

2⁸²⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

827505 is an abundant number, since it is smaller than the sum of its proper divisors (879759).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827505 is a wasteful number, since it uses less digits than its factorization.

827505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 827505 is about 909.6730181774. The cubic root of 827505 is about 93.8837025614.

The spelling of 827505 in words is "eight hundred twenty-seven thousand, five hundred five".