213483816 has 128 divisors (see below), whose sum is σ = 729926400. Its totient is φ = 56298240.

The previous prime is 213483811. The next prime is 213483827. The reversal of 213483816 is 618384312.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (213483811) 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 31 ways as a sum of consecutive naturals, for example, 14226 + ... + 25086.

It is an arithmetic number, because the mean of its divisors is an integer number (5702550).

Almost surely, 2^213483816 is an apocalyptic number.

213483816 is a gapful number since it is divisible by the number (26) 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 213483816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364963200).

213483816 is an abundant number, since it is smaller than the sum of its proper divisors (516442584).

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

213483816 is a wasteful number, since it uses less digits than its factorization.

213483816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10886 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 213483816 is about 14611.0853806280. The cubic root of 213483816 is about 597.6610943813.

The spelling of 213483816 in words is "two hundred thirteen million, four hundred eighty-three thousand, eight hundred sixteen".