33081400 has 72 divisors (see below), whose sum is σ = 84603960. Its totient is φ = 12020800.

The previous prime is 33081397. The next prime is 33081401. The reversal of 33081400 is 418033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33081401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23517 + ... + 24883.

It is an arithmetic number, because the mean of its divisors is an integer number (1175055).

Almost surely, 2^33081400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301980).

33081400 is an abundant number, since it is smaller than the sum of its proper divisors (51522560).

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

33081400 is a wasteful number, since it uses less digits than its factorization.

33081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 33081400 is about 5751.6432434566. The cubic root of 33081400 is about 321.0169470516.

Adding to 33081400 its reverse (418033), we get a palindrome (33499433).

It can be divided in two parts, 3 and 3081400, that added together give a triangular number (3081403 = T₂₄₈₂).

The spelling of 33081400 in words is "thirty-three million, eighty-one thousand, four hundred".