33538049 has 2 divisors, whose sum is σ = 33538050. Its totient is φ = 33538048.

The previous prime is 33538027. The next prime is 33538051. The reversal of 33538049 is 94083533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33466225 + 71824 = 5785^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 33538049 - 2¹² = 33533953 is a prime.

It is a super-2 number, since 2×33538049² = 2249601461452802, which contains 22 as substring.

Together with 33538051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33538009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16769024 + 16769025.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

It is a Proth number, since it is equal to 2047 ⋅ 2¹⁴ + 1 and 2047 < 2¹⁴.

Almost surely, 2^33538049 is an apocalyptic number.

It is an amenable number.

33538049 is a deficient number, since it is larger than the sum of its proper divisors (1).

33538049 is an equidigital number, since it uses as much as digits as its factorization.

33538049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 33538049 is about 5791.2044515800. The cubic root of 33538049 is about 322.4872867212.

The spelling of 33538049 in words is "thirty-three million, five hundred thirty-eight thousand, forty-nine".