33145416 has 64 divisors (see below), whose sum is σ = 92707200. Its totient is φ = 10972224.

The previous prime is 33145397. The next prime is 33145421. The reversal of 33145416 is 61454133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33145416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36925 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (1448550).

Almost surely, 2^33145416 is an apocalyptic number.

33145416 is a gapful number since it is divisible by the number (36) 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 33145416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46353600).

33145416 is an abundant number, since it is smaller than the sum of its proper divisors (59561784).

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

33145416 is a wasteful number, since it uses less digits than its factorization.

33145416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 33145416 is about 5757.2055721504. The cubic root of 33145416 is about 321.2238808522.

Adding to 33145416 its reverse (61454133), we get a palindrome (94599549).

The spelling of 33145416 in words is "thirty-three million, one hundred forty-five thousand, four hundred sixteen".