33828601 has 2 divisors, whose sum is σ = 33828602. Its totient is φ = 33828600.

The previous prime is 33828581. The next prime is 33828617. The reversal of 33828601 is 10682833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18020025 + 15808576 = 4245^2 + 3976^2 .

It is a cyclic number.

It is not a de Polignac number, because 33828601 - 2²¹ = 31731449 is a prime.

It is a super-2 number, since 2×33828601² = 2288748491234402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33828631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914300 + 16914301.

It is an arithmetic number, because the mean of its divisors is an integer number (16914301).

Almost surely, 2^33828601 is an apocalyptic number.

It is an amenable number.

33828601 is a deficient number, since it is larger than the sum of its proper divisors (1).

33828601 is an equidigital number, since it uses as much as digits as its factorization.

33828601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 33828601 is about 5816.2359821452. The cubic root of 33828601 is about 323.4158841428.

The spelling of 33828601 in words is "thirty-three million, eight hundred twenty-eight thousand, six hundred one".