33984027 has 96 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 15966720.

The previous prime is 33984007. The next prime is 33984043. The reversal of 33984027 is 72048933.

It is not a de Polignac number, because 33984027 - 2⁷ = 33983899 is a prime.

It is a super-2 number, since 2×33984027² = 2309828182273458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33983982 and 33984000.

It is not an unprimeable number, because it can be changed into a prime (33984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381799 + ... + 381887.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^33984027 is an apocalyptic number.

33984027 is a deficient number, since it is larger than the sum of its proper divisors (33407973).

33984027 is a wasteful number, since it uses less digits than its factorization.

33984027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33984027 is about 5829.5820604911. The cubic root of 33984027 is about 323.9104404956.

The spelling of 33984027 in words is "thirty-three million, nine hundred eighty-four thousand, twenty-seven".