33213000 has 64 divisors (see below), whose sum is σ = 103633920. Its totient is φ = 8856000.

The previous prime is 33212999. The next prime is 33213017. The reversal of 33213000 is 31233.

It is a happy number.

It is a super-2 number, since 2×33213000² = 2206206738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (1619280).

Almost surely, 2^33213000 is an apocalyptic number.

33213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33213000 is an abundant number, since it is smaller than the sum of its proper divisors (70420920).

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

33213000 is a wasteful number, since it uses less digits than its factorization.

33213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 33213000 is about 5763.0720974147. The cubic root of 33213000 is about 321.4420593987.

Adding to 33213000 its reverse (31233), we get a palindrome (33244233).

The spelling of 33213000 in words is "thirty-three million, two hundred thirteen thousand".