33114420 has 60 divisors (see below), whose sum is σ = 103886244. Its totient is φ = 8830080.

The previous prime is 33114401. The next prime is 33114421. The reversal of 33114420 is 2441133.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 12702096 = 4518^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33114393 and 33114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33114421) 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 19 ways as a sum of consecutive naturals, for example, 8601 + ... + 11840.

Almost surely, 2^33114420 is an apocalyptic number.

33114420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33114420 is an abundant number, since it is smaller than the sum of its proper divisors (70771824).

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

33114420 is a wasteful number, since it uses less digits than its factorization.

33114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 20451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33114420 is about 5754.5130115415. The cubic root of 33114420 is about 321.1237185785.

Adding to 33114420 its reverse (2441133), we get a palindrome (35555553).

The spelling of 33114420 in words is "thirty-three million, one hundred fourteen thousand, four hundred twenty".