33001020 has 120 divisors (see below), whose sum is σ = 111560064. Its totient is φ = 8118144.

The previous prime is 33001009. The next prime is 33001027. The reversal of 33001020 is 2010033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 33000993 and 33001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20277 + ... + 21843.

Almost surely, 2^33001020 is an apocalyptic number.

33001020 is a gapful number since it is divisible by the number (30) 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 33001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55780032).

33001020 is an abundant number, since it is smaller than the sum of its proper divisors (78559044).

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

33001020 is a wasteful number, since it uses less digits than its factorization.

33001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33001020 is about 5744.6514254566. The cubic root of 33001020 is about 320.7567376979.

Adding to 33001020 its reverse (2010033), we get a palindrome (35011053).

The spelling of 33001020 in words is "thirty-three million, one thousand, twenty".