33314000 has 40 divisors (see below), whose sum is σ = 80558088. Its totient is φ = 13324800.

The previous prime is 33313967. The next prime is 33314003. The reversal of 33314000 is 41333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 32581264 = 856^2 + 5708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33314000² = 2219645192000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33314003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6329 + ... + 10328.

Almost surely, 2^33314000 is an apocalyptic number.

It is an amenable number.

33314000 is an abundant number, since it is smaller than the sum of its proper divisors (47244088).

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

33314000 is a wasteful number, since it uses less digits than its factorization.

33314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680 (or 16664 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33314000 is about 5771.8281332694. The cubic root of 33314000 is about 321.7675624084.

Adding to 33314000 its reverse (41333), we get a palindrome (33355333).

The spelling of 33314000 in words is "thirty-three million, three hundred fourteen thousand".