33438947 has 2 divisors, whose sum is σ = 33438948. Its totient is φ = 33438946.

The previous prime is 33438931. The next prime is 33438953. The reversal of 33438947 is 74983433.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33438947 - 2⁴ = 33438931 is a prime.

It is a super-2 number, since 2×33438947² = 2236326352937618, which contains 22 as substring.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (33438547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16719473 + 16719474.

It is an arithmetic number, because the mean of its divisors is an integer number (16719474).

Almost surely, 2^33438947 is an apocalyptic number.

33438947 is a deficient number, since it is larger than the sum of its proper divisors (1).

33438947 is an equidigital number, since it uses as much as digits as its factorization.

33438947 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 41.

The square root of 33438947 is about 5782.6418702873. The cubic root of 33438947 is about 322.1693327690.

The spelling of 33438947 in words is "thirty-three million, four hundred thirty-eight thousand, nine hundred forty-seven".