826375 has 16 divisors (see below), whose sum is σ = 1126944. Its totient is φ = 600000.

The previous prime is 826363. The next prime is 826379. The reversal of 826375 is 573628.

It is not a de Polignac number, because 826375 - 2¹⁵ = 793607 is a prime.

It is a d-powerful number, because it can be written as 8³ + 2 + 3⁷ + 6 + 7⁷ + 5³ .

It is a Duffinian number.

826375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826379) 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, 1075 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (70434).

2⁸²⁶³⁷⁵ is an apocalyptic number.

826375 is a deficient number, since it is larger than the sum of its proper divisors (300569).

826375 is a wasteful number, since it uses less digits than its factorization.

826375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

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

The square root of 826375 is about 909.0517037001. The cubic root of 826375 is about 93.8409487773.

It can be divided in two parts, 8263 and 75, that added together give a palindrome (8338).

The spelling of 826375 in words is "eight hundred twenty-six thousand, three hundred seventy-five".