2813832 has 64 divisors (see below), whose sum is σ = 8937600. Its totient is φ = 803520.

The previous prime is 2813827. The next prime is 2813849. The reversal of 2813832 is 2383182.

2813832 is a `hidden beast` number, since 281 + 383 + 2 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2813796 and 2813805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 2442.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

2^2813832 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 2813832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468800).

2813832 is an abundant number, since it is smaller than the sum of its proper divisors (6123768).

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

2813832 is a wasteful number, since it uses less digits than its factorization.

2813832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2813832 is about 1677.4480617891. The cubic root of 2813832 is about 141.1776845484.

The spelling of 2813832 in words is "two million, eight hundred thirteen thousand, eight hundred thirty-two".