213740352 has 126 divisors (see below), whose sum is σ = 712766418. Its totient is φ = 61060608.

The previous prime is 213740321. The next prime is 213740377. The reversal of 213740352 is 253047312.

213740352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 213627456 + 112896 = 14616^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24438 + ... + 32010.

Almost surely, 2^213740352 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 213740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356383209).

213740352 is an abundant number, since it is smaller than the sum of its proper divisors (499026066).

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

213740352 is a wasteful number, since it uses less digits than its factorization.

213740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 213740352 is about 14619.8615588521. The cubic root of 213740352 is about 597.9003946659.

Adding to 213740352 its reverse (253047312), we get a palindrome (466787664).

The spelling of 213740352 in words is "two hundred thirteen million, seven hundred forty thousand, three hundred fifty-two".