213563916 has 72 divisors (see below), whose sum is σ = 556146864. Its totient is φ = 69058560.

The previous prime is 213563899. The next prime is 213563921. The reversal of 213563916 is 619365312.

213563916 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 639 + 16 = 666.

213563916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379051 + ... + 379613.

It is an arithmetic number, because the mean of its divisors is an integer number (7724262).

Almost surely, 2^213563916 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 213563916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278073432).

213563916 is an abundant number, since it is smaller than the sum of its proper divisors (342582948).

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

213563916 is a wasteful number, since it uses less digits than its factorization.

213563916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 866 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 213563916 is about 14613.8261930269. The cubic root of 213563916 is about 597.7358333295.

The spelling of 213563916 in words is "two hundred thirteen million, five hundred sixty-three thousand, nine hundred sixteen".