213716000 has 144 divisors (see below), whose sum is σ = 554358168. Its totient is φ = 80960000.

The previous prime is 213715987. The next prime is 213716017. The reversal of 213716000 is 617312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123921424 + 89794576 = 11132^2 + 9476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2115950 + ... + 2116050.

Almost surely, 2^213716000 is an apocalyptic number.

213716000 is a gapful number since it is divisible by the number (20) 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 213716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277179084).

213716000 is an abundant number, since it is smaller than the sum of its proper divisors (340642168).

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

213716000 is a wasteful number, since it uses less digits than its factorization.

213716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 213716000 is about 14619.0286955050. The cubic root of 213716000 is about 597.8776870158.

The spelling of 213716000 in words is "two hundred thirteen million, seven hundred sixteen thousand".