33712121 has 2 divisors, whose sum is σ = 33712122. Its totient is φ = 33712120.

The previous prime is 33712111. The next prime is 33712141. The reversal of 33712121 is 12121733.

33712121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (33712141) can be obtained adding 33712121 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17106496 + 16605625 = 4136^2 + 4075^2 .

It is a cyclic number.

It is not a de Polignac number, because 33712121 - 2¹⁴ = 33695737 is a prime.

It is a super-2 number, since 2×33712121² = 2273014204637282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33712093 and 33712102.

It is not a weakly prime, because it can be changed into another prime (33712111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16856060 + 16856061.

It is an arithmetic number, because the mean of its divisors is an integer number (16856061).

Almost surely, 2^33712121 is an apocalyptic number.

It is an amenable number.

33712121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33712121 is an equidigital number, since it uses as much as digits as its factorization.

33712121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 20.

The square root of 33712121 is about 5806.2139988120. The cubic root of 33712121 is about 323.0442577547.

Adding to 33712121 its reverse (12121733), we get a palindrome (45833854).

It can be divided in two parts, 33712 and 121, that added together give a palindrome (33833).

The spelling of 33712121 in words is "thirty-three million, seven hundred twelve thousand, one hundred twenty-one".