33000420 has 24 divisors (see below), whose sum is σ = 92401344. Its totient is φ = 8800096.

The previous prime is 33000419. The next prime is 33000421. The reversal of 33000420 is 2400033.

It is an interprime number because it is at equal distance from previous prime (33000419) and next prime (33000421).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33000396 and 33000405.

It is not an unprimeable number, because it can be changed into a prime (33000421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274944 + ... + 275063.

It is an arithmetic number, because the mean of its divisors is an integer number (3850056).

Almost surely, 2^33000420 is an apocalyptic number.

33000420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33000420 is an abundant number, since it is smaller than the sum of its proper divisors (59400924).

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

33000420 is a wasteful number, since it uses less digits than its factorization.

33000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550019 (or 550017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 33000420 is about 5744.5992027295. The cubic root of 33000420 is about 320.7547937659.

Adding to 33000420 its reverse (2400033), we get a palindrome (35400453).

The spelling of 33000420 in words is "thirty-three million, four hundred twenty", and thus it is an aban number.