831006 has 32 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 251640.

The previous prime is 830989. The next prime is 831023. The reversal of 831006 is 600138.

It is an interprime number because it is at equal distance from previous prime (830989) and next prime (831023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 831006.

It is a congruent number.

It is an unprimeable number.

831006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2⁸³¹⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

831006 is an abundant number, since it is smaller than the sum of its proper divisors (1184994).

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

831006 is a wasteful number, since it uses less digits than its factorization.

831006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 831006 is about 911.5953049462. The cubic root of 831006 is about 94.0159170270.

It can be divided in two parts, 83 and 1006, that added together give a square (1089 = 33²).

The spelling of 831006 in words is "eight hundred thirty-one thousand, six".