33628541 has 2 divisors, whose sum is σ = 33628542. Its totient is φ = 33628540.

The previous prime is 33628501. The next prime is 33628559. The reversal of 33628541 is 14582633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23522500 + 10106041 = 4850^2 + 3179^2 .

It is a cyclic number.

It is not a de Polignac number, because 33628541 - 2⁶ = 33628477 is a prime.

It is a super-2 number, since 2×33628541² = 2261757539577362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33628498 and 33628507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33628501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814270 + 16814271.

It is an arithmetic number, because the mean of its divisors is an integer number (16814271).

Almost surely, 2^33628541 is an apocalyptic number.

It is an amenable number.

33628541 is a deficient number, since it is larger than the sum of its proper divisors (1).

33628541 is an equidigital number, since it uses as much as digits as its factorization.

33628541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 32.

The square root of 33628541 is about 5799.0120710342. The cubic root of 33628541 is about 322.7770701466. Note that the first 3 decimals are identical.

The spelling of 33628541 in words is "thirty-three million, six hundred twenty-eight thousand, five hundred forty-one".