33772121 has 2 divisors, whose sum is σ = 33772122. Its totient is φ = 33772120.

The previous prime is 33772103. The next prime is 33772147. The reversal of 33772121 is 12127733.

It is an a-pointer prime, because the next prime (33772147) can be obtained adding 33772121 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33582025 + 190096 = 5795^2 + 436^2 .

It is an emirp because it is prime and its reverse (12127733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33772121 - 2¹⁴ = 33755737 is a prime.

It is a super-2 number, since 2×33772121² = 2281112313677282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33772171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16886060 + 16886061.

It is an arithmetic number, because the mean of its divisors is an integer number (16886061).

Almost surely, 2^33772121 is an apocalyptic number.

It is an amenable number.

33772121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33772121 is an equidigital number, since it uses as much as digits as its factorization.

33772121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 26.

The square root of 33772121 is about 5811.3785799929. The cubic root of 33772121 is about 323.2357928992.

Adding to 33772121 its reverse (12127733), we get a palindrome (45899854).

It can be divided in two parts, 3377 and 2121, that multiplied together give a palindrome (7162617).

The spelling of 33772121 in words is "thirty-three million, seven hundred seventy-two thousand, one hundred twenty-one".