867825 has 72 divisors (see below), whose sum is σ = 1934400. Its totient is φ = 362880.

The previous prime is 867817. The next prime is 867827. The reversal of 867825 is 528768.

867825 = T₂₃₀ + T₂₃₁ + ... + T₂₅₈.

It is not a de Polignac number, because 867825 - 2³ = 867817 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

867825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 867825.

It is not an unprimeable number, because it can be changed into a prime (867827) 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 71 ways as a sum of consecutive naturals, for example, 29911 + ... + 29939.

2⁸⁶⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

867825 is an abundant number, since it is smaller than the sum of its proper divisors (1066575).

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

867825 is a wasteful number, since it uses less digits than its factorization.

867825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

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

The square root of 867825 is about 931.5712533135. The cubic root of 867825 is about 95.3844073510.

The spelling of 867825 in words is "eight hundred sixty-seven thousand, eight hundred twenty-five".