33997563 has 30 divisors (see below), whose sum is σ = 52224084. Its totient is φ = 22040424.

The previous prime is 33997559. The next prime is 33997573. The reversal of 33997563 is 36579933.

33997563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33997563 - 2² = 33997559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33997543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149656 + ... + 149882.

Almost surely, 2^33997563 is an apocalyptic number.

33997563 is a deficient number, since it is larger than the sum of its proper divisors (18226521).

33997563 is an equidigital number, since it uses as much as digits as its factorization.

33997563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 273 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 33997563 is about 5830.7429200746. The cubic root of 33997563 is about 323.9534398115.

The spelling of 33997563 in words is "thirty-three million, nine hundred ninety-seven thousand, five hundred sixty-three".