1813392 has 90 divisors (see below), whose sum is σ = 5926518. Its totient is φ = 516096.

The previous prime is 1813391. The next prime is 1813421. The reversal of 1813392 is 2933181.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 7056 = 1344^2 + 84^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813391) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6928 + ... + 7184.

2^1813392 is an apocalyptic number.

1813392 is a gapful number since it is divisible by the number (12) 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 1813392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963259).

1813392 is an abundant number, since it is smaller than the sum of its proper divisors (4113126).

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

1813392 is a wasteful number, since it uses less digits than its factorization.

1813392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1813392 is about 1346.6224415180. The cubic root of 1813392 is about 121.9449720481.

It can be divided in two parts, 18133 and 92, that added together give a square (18225 = 135²).

The spelling of 1813392 in words is "one million, eight hundred thirteen thousand, three hundred ninety-two".