213362730 has 96 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 48548736.

The previous prime is 213362719. The next prime is 213362741. The reversal of 213362730 is 37263312.

213362730 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 627 + 30 = 666.

213362730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213362719) and next prime (213362741).

It is a junction number, because it is equal to n+sod(n) for n = 213362694 and 213362703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168841 + ... + 170099.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^213362730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213362730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

213362730 is an abundant number, since it is smaller than the sum of its proper divisors (423491670).

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

213362730 is a wasteful number, since it uses less digits than its factorization.

213362730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 213362730 is about 14606.9411582302. The cubic root of 213362730 is about 597.5480771057.

The spelling of 213362730 in words is "two hundred thirteen million, three hundred sixty-two thousand, seven hundred thirty".