826875 has 60 divisors (see below), whose sum is σ = 1780680. Its totient is φ = 378000.

The previous prime is 826867. The next prime is 826879. The reversal of 826875 is 578628.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 826875 - 2³ = 826867 is a prime.

Its product of digits (26880) is a multiple of the sum of its prime divisors (15).

826875 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (826879) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 118122 + ... + 118128.

It is an arithmetic number, because the mean of its divisors is an integer number (29678).

2⁸²⁶⁸⁷⁵ is an apocalyptic number.

826875 is an abundant number, since it is smaller than the sum of its proper divisors (953805).

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

826875 is an equidigital number, since it uses as much as digits as its factorization.

826875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 15 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 826875 is about 909.3266739737. The cubic root of 826875 is about 93.8598711851.

The spelling of 826875 in words is "eight hundred twenty-six thousand, eight hundred seventy-five".