33800713 has 2 divisors, whose sum is σ = 33800714. Its totient is φ = 33800712.

The previous prime is 33800707. The next prime is 33800719. The reversal of 33800713 is 31700833.

It is a balanced prime because it is at equal distance from previous prime (33800707) and next prime (33800719).

It can be written as a sum of positive squares in only one way, i.e., 25887744 + 7912969 = 5088^2 + 2813^2 .

It is a cyclic number.

It is not a de Polignac number, because 33800713 - 2⁵ = 33800681 is a prime.

It is a super-2 number, since 2×33800713² = 2284976398616738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33800719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16900356 + 16900357.

It is an arithmetic number, because the mean of its divisors is an integer number (16900357).

Almost surely, 2^33800713 is an apocalyptic number.

It is an amenable number.

33800713 is a deficient number, since it is larger than the sum of its proper divisors (1).

33800713 is an equidigital number, since it uses as much as digits as its factorization.

33800713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 33800713 is about 5813.8380610402. The cubic root of 33800713 is about 323.3269859762.

The spelling of 33800713 in words is "thirty-three million, eight hundred thousand, seven hundred thirteen".