33672001 has 12 divisors (see below), whose sum is σ = 37155412. Its totient is φ = 30492000.

The previous prime is 33671969. The next prime is 33672011. The reversal of 33672001 is 10027633.

It can be written as a sum of positive squares in 2 ways, for example, as 10246401 + 23425600 = 3201^2 + 4840^2 .

It is not a de Polignac number, because 33672001 - 2⁵ = 33671969 is a prime.

It is a super-2 number, since 2×33672001² = 2267607302688002, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33672011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50611 + ... + 51271.

Almost surely, 2^33672001 is an apocalyptic number.

It is an amenable number.

33672001 is a deficient number, since it is larger than the sum of its proper divisors (3483411).

33672001 is a wasteful number, since it uses less digits than its factorization.

33672001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 33672001 is about 5802.7580511340. The cubic root of 33672001 is about 322.9160577683.

Adding to 33672001 its reverse (10027633), we get a palindrome (43699634).

The spelling of 33672001 in words is "thirty-three million, six hundred seventy-two thousand, one".