1283872 has 24 divisors (see below), whose sum is σ = 2578716. Its totient is φ = 628992.

The previous prime is 1283839. The next prime is 1283873. The reversal of 1283872 is 2783821.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 38416 = 1116^2 + 196^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1283873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318 + ... + 2074.

2^1283872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289358).

1283872 is an abundant number, since it is smaller than the sum of its proper divisors (1294844).

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

1283872 is an equidigital number, since it uses as much as digits as its factorization.

1283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 1283872 is about 1133.0807561688. The cubic root of 1283872 is about 108.6860759656.

It can be divided in two parts, 128 and 3872, that multiplied together give a square (495616 = 704²).

The spelling of 1283872 in words is "one million, two hundred eighty-three thousand, eight hundred seventy-two".