831249 has 16 divisors (see below), whose sum is σ = 1304640. Its totient is φ = 521280.

The previous prime is 831239. The next prime is 831253. The reversal of 831249 is 942138.

831249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 831249 - 2⁵ = 831217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (831239) 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, 447 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (81540).

2⁸³¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

831249 is a deficient number, since it is larger than the sum of its proper divisors (473391).

831249 is a wasteful number, since it uses less digits than its factorization.

831249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1831 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 831249 is about 911.7285780319. The cubic root of 831249 is about 94.0250800741.

Subtracting 831249 from its reverse (942138), we obtain a square (110889 = 333²).

The spelling of 831249 in words is "eight hundred thirty-one thousand, two hundred forty-nine".