33772165 has 16 divisors (see below), whose sum is σ = 48331008. Its totient is φ = 22150656.

The previous prime is 33772159. The next prime is 33772169. The reversal of 33772165 is 56127733.

It is not a de Polignac number, because 33772165 - 2¹¹ = 33770117 is a prime.

It is a super-2 number, since 2×33772165² = 2281118257574450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33772165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33772169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20172 + ... + 21781.

It is an arithmetic number, because the mean of its divisors is an integer number (3020688).

Almost surely, 2^33772165 is an apocalyptic number.

33772165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33772165 is a deficient number, since it is larger than the sum of its proper divisors (14558843).

33772165 is a wasteful number, since it uses less digits than its factorization.

33772165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41988.

The product of its digits is 26460, while the sum is 34.

The square root of 33772165 is about 5811.3823656683. The cubic root of 33772165 is about 323.2359332750.

Adding to 33772165 its reverse (56127733), we get a palindrome (89899898).

The spelling of 33772165 in words is "thirty-three million, seven hundred seventy-two thousand, one hundred sixty-five".