333213000 has 128 divisors (see below), whose sum is σ = 1050192000. Its totient is φ = 87955200.

The previous prime is 333212989. The next prime is 333213019. The reversal of 333213000 is 312333.

It is a super-2 number, since 2×333213000² = 222061806738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326491 + ... + 327509.

It is an arithmetic number, because the mean of its divisors is an integer number (8204625).

Almost surely, 2^333213000 is an apocalyptic number.

333213000 is a gapful number since it is divisible by the number (30) 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 333213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

333213000 is an abundant number, since it is smaller than the sum of its proper divisors (716979000).

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

333213000 is a wasteful number, since it uses less digits than its factorization.

333213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 333213000 is about 18254.1228219819. The cubic root of 333213000 is about 693.2778298353.

Adding to 333213000 its reverse (312333), we get a palindrome (333525333).

The spelling of 333213000 in words is "three hundred thirty-three million, two hundred thirteen thousand".