213993012 has 48 divisors (see below), whose sum is σ = 530893440. Its totient is φ = 66937728.

The previous prime is 213992971. The next prime is 213993047. The reversal of 213993012 is 210399312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7314 + ... + 21942.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2^213993012 is an apocalyptic number.

It is a pronic number, being equal to 14628×14629.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213993012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

213993012 is an abundant number, since it is smaller than the sum of its proper divisors (316900428).

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

213993012 is a wasteful number, since it uses less digits than its factorization.

213993012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14712 (or 14710 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 213993012 is about 14628.4999914550. The cubic root of 213993012 is about 598.1358922796.

The spelling of 213993012 in words is "two hundred thirteen million, nine hundred ninety-three thousand, twelve".