827365 has 24 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 514080.

The previous prime is 827347. The next prime is 827369. The reversal of 827365 is 563728.

It is not a de Polignac number, because 827365 - 2¹³ = 819173 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

827365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827369) 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 23 ways as a sum of consecutive naturals, for example, 2542 + ... + 2848.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2⁸²⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

827365 is a deficient number, since it is larger than the sum of its proper divisors (436667).

827365 is a wasteful number, since it uses less digits than its factorization.

827365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 827365 is about 909.5960641955. The cubic root of 827365 is about 93.8784077455.

It can be divided in two parts, 8273 and 65, that added together give a palindrome (8338).

The spelling of 827365 in words is "eight hundred twenty-seven thousand, three hundred sixty-five".