213207792 has 160 divisors (see below), whose sum is σ = 671956992. Its totient is φ = 56931072.

The previous prime is 213207767. The next prime is 213207811. The reversal of 213207792 is 297702312.

213207792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362923 + ... + 363509.

Almost surely, 2^213207792 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 213207792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978496).

213207792 is an abundant number, since it is smaller than the sum of its proper divisors (458749200).

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

213207792 is a wasteful number, since it uses less digits than its factorization.

213207792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 213207792 is about 14601.6366205984. The cubic root of 213207792 is about 597.4034012238.

The spelling of 213207792 in words is "two hundred thirteen million, two hundred seven thousand, seven hundred ninety-two".