33020001 has 64 divisors (see below), whose sum is σ = 60825600. Its totient is φ = 17273088.

The previous prime is 33019997. The next prime is 33020089. The reversal of 33020001 is 10002033.

It is a happy number.

33020001 is a nontrivial binomial coefficient, being equal to C(8127, 2).

It is not a de Polignac number, because 33020001 - 2² = 33019997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (33020201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138040 + ... + 138278.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 2^33020001 is an apocalyptic number.

33020001 is the 8126-th triangular number.

It is an amenable number.

33020001 is a deficient number, since it is larger than the sum of its proper divisors (27805599).

33020001 is a wasteful number, since it uses less digits than its factorization.

33020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

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

The square root of 33020001 is about 5746.3032464359. The cubic root of 33020001 is about 320.8182218253.

Adding to 33020001 its reverse (10002033), we get a palindrome (43022034).

The spelling of 33020001 in words is "thirty-three million, twenty thousand, one".