33981675 has 72 divisors (see below), whose sum is σ = 69709824. Its totient is φ = 14302080.

The previous prime is 33981643. The next prime is 33981677. The reversal of 33981675 is 57618933.

It is not a de Polignac number, because 33981675 - 2⁵ = 33981643 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33981677) 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 71 ways as a sum of consecutive naturals, for example, 88534 + ... + 88916.

It is an arithmetic number, because the mean of its divisors is an integer number (968192).

Almost surely, 2^33981675 is an apocalyptic number.

33981675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33981675 is an abundant number, since it is smaller than the sum of its proper divisors (35728149).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33981675 is a wasteful number, since it uses less digits than its factorization.

33981675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 33981675 is about 5829.3803272732. The cubic root of 33981675 is about 323.9029678190.

The spelling of 33981675 in words is "thirty-three million, nine hundred eighty-one thousand, six hundred seventy-five".