33820101 has 24 divisors (see below), whose sum is σ = 57634304. Its totient is φ = 18701280.

The previous prime is 33820099. The next prime is 33820141. The reversal of 33820101 is 10102833.

It is not a de Polignac number, because 33820101 - 2¹ = 33820099 is a prime.

It is a super-2 number, since 2×33820101² = 2287598463300402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6706 + ... + 10611.

Almost surely, 2^33820101 is an apocalyptic number.

33820101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33820101 is a deficient number, since it is larger than the sum of its proper divisors (23814203).

33820101 is a wasteful number, since it uses less digits than its factorization.

33820101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 33820101 is about 5815.5052231083. The cubic root of 33820101 is about 323.3887939961.

Adding to 33820101 its reverse (10102833), we get a palindrome (43922934).

The spelling of 33820101 in words is "thirty-three million, eight hundred twenty thousand, one hundred one".