33813380 has 12 divisors (see below), whose sum is σ = 71008140. Its totient is φ = 13525344.

The previous prime is 33813371. The next prime is 33813389. The reversal of 33813380 is 8331833.

It is an interprime number because it is at equal distance from previous prime (33813371) and next prime (33813389).

It can be written as a sum of positive squares in 2 ways, for example, as 23367556 + 10445824 = 4834^2 + 3232^2 .

It is a super-2 number, since 2×33813380² = 2286689334048800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33813389) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 845315 + ... + 845354.

It is an arithmetic number, because the mean of its divisors is an integer number (5917345).

Almost surely, 2^33813380 is an apocalyptic number.

It is an amenable number.

33813380 is an abundant number, since it is smaller than the sum of its proper divisors (37194760).

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

33813380 is a wasteful number, since it uses less digits than its factorization.

33813380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690678 (or 1690676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 33813380 is about 5814.9273426243. The cubic root of 33813380 is about 323.3673704440.

The spelling of 33813380 in words is "thirty-three million, eight hundred thirteen thousand, three hundred eighty".