213767312 has 60 divisors (see below), whose sum is σ = 459879420. Its totient is φ = 96180480.

The previous prime is 213767311. The next prime is 213767341.

213767312 is nontrivially palindromic in base 10.

213767312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52070656 + 161696656 = 7216^2 + 12716^2 .

It is not an unprimeable number, because it can be changed into a prime (213767311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210518 + ... + 211530.

It is an arithmetic number, because the mean of its divisors is an integer number (7664657).

Almost surely, 2^213767312 is an apocalyptic number.

213767312 is a gapful number since it is divisible by the number (22) 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 213767312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229939710).

213767312 is an abundant number, since it is smaller than the sum of its proper divisors (246112108).

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

213767312 is a wasteful number, since it uses less digits than its factorization.

213767312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 213767312 is about 14620.7835631337. The cubic root of 213767312 is about 597.9255322012.

The spelling of 213767312 in words is "two hundred thirteen million, seven hundred sixty-seven thousand, three hundred twelve".