33244129 has 12 divisors (see below), whose sum is σ = 37156644. Its totient is φ = 29636352.

The previous prime is 33244111. The next prime is 33244147. The reversal of 33244129 is 92144233.

It is an interprime number because it is at equal distance from previous prime (33244111) and next prime (33244147).

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 19936225 = 3648^2 + 4465^2 .

It is not a de Polignac number, because 33244129 - 2⁵ = 33244097 is a prime.

It is a super-2 number, since 2×33244129² = 2210344225937282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33244097 and 33244106.

It is not an unprimeable number, because it can be changed into a prime (33244429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (3096387).

Almost surely, 2^33244129 is an apocalyptic number.

It is an amenable number.

33244129 is a deficient number, since it is larger than the sum of its proper divisors (3912515).

33244129 is a wasteful number, since it uses less digits than its factorization.

33244129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5453 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 33244129 is about 5765.7721945980. The cubic root of 33244129 is about 321.5424522709.

The spelling of 33244129 in words is "thirty-three million, two hundred forty-four thousand, one hundred twenty-nine".