213993000 has 384 divisors, whose sum is σ = 817689600. Its totient is φ = 50112000.

The previous prime is 213992971. The next prime is 213993047. The reversal of 213993000 is 399312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3626971 + ... + 3627029.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^213993000 is an apocalyptic number.

213993000 is a gapful number since it is divisible by the number (20) 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 213993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

213993000 is an abundant number, since it is smaller than the sum of its proper divisors (603696600).

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

213993000 is a wasteful number, since it uses less digits than its factorization.

213993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 213993000 is about 14628.4995812968. The cubic root of 213993000 is about 598.1358810991.

The spelling of 213993000 in words is "two hundred thirteen million, nine hundred ninety-three thousand".