283181382 has 72 divisors (see below), whose sum is σ = 703855152. Its totient is φ = 82067040.

The previous prime is 283181369. The next prime is 283181389.

283181382 is nontrivially palindromic in base 10.

283181382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×283181382² = 160383390222859848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283181389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47268 + ... + 52920.

It is an arithmetic number, because the mean of its divisors is an integer number (9775766).

Almost surely, 2^283181382 is an apocalyptic number.

283181382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 283181382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351927576).

283181382 is an abundant number, since it is smaller than the sum of its proper divisors (420673770).

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

283181382 is a wasteful number, since it uses less digits than its factorization.

283181382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5692 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 283181382 is about 16827.9939980973. The cubic root of 283181382 is about 656.6816775609.

The spelling of 283181382 in words is "two hundred eighty-three million, one hundred eighty-one thousand, three hundred eighty-two".