33080129 has 2 divisors, whose sum is σ = 33080130. Its totient is φ = 33080128.

The previous prime is 33080081. The next prime is 33080149. The reversal of 33080129 is 92108033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31584400 + 1495729 = 5620^2 + 1223^2 .

It is an emirp because it is prime and its reverse (92108033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33080129 - 2¹⁶ = 33014593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33080098 and 33080107.

It is not a weakly prime, because it can be changed into another prime (33080149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16540064 + 16540065.

It is an arithmetic number, because the mean of its divisors is an integer number (16540065).

Almost surely, 2^33080129 is an apocalyptic number.

It is an amenable number.

33080129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33080129 is an equidigital number, since it uses as much as digits as its factorization.

33080129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 33080129 is about 5751.5327522322. The cubic root of 33080129 is about 321.0128358011.

The spelling of 33080129 in words is "thirty-three million, eighty thousand, one hundred twenty-nine".