33738541 has 2 divisors, whose sum is σ = 33738542. Its totient is φ = 33738540.

The previous prime is 33738521. The next prime is 33738553. The reversal of 33738541 is 14583733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18096516 + 15642025 = 4254^2 + 3955^2 .

It is a cyclic number.

It is not a de Polignac number, because 33738541 - 2¹⁹ = 33214253 is a prime.

It is a super-2 number, since 2×33738541² = 2276578297617362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33738497 and 33738506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33738511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869270 + 16869271.

It is an arithmetic number, because the mean of its divisors is an integer number (16869271).

Almost surely, 2^33738541 is an apocalyptic number.

It is an amenable number.

33738541 is a deficient number, since it is larger than the sum of its proper divisors (1).

33738541 is an equidigital number, since it uses as much as digits as its factorization.

33738541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 34.

The square root of 33738541 is about 5808.4887018914. The cubic root of 33738541 is about 323.1286250430.

The spelling of 33738541 in words is "thirty-three million, seven hundred thirty-eight thousand, five hundred forty-one".