12831000 has 256 divisors, whose sum is σ = 50319360. Its totient is φ = 2649600.

The previous prime is 12830999. The next prime is 12831001. The reversal of 12831000 is 13821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12830999) and next prime (12831001).

It is a super-2 number, since 2×12831000² = 329269122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12831001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272977 + ... + 273023.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^12831000 is an apocalyptic number.

12831000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

12831000 is an abundant number, since it is smaller than the sum of its proper divisors (37488360).

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

12831000 is a wasteful number, since it uses less digits than its factorization.

12831000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12831000 is about 3582.0385257560. The cubic root of 12831000 is about 234.1101096229.

Adding to 12831000 its reverse (13821), we get a palindrome (12844821).

The spelling of 12831000 in words is "twelve million, eight hundred thirty-one thousand".