33138945 has 96 divisors (see below), whose sum is σ = 71136000. Its totient is φ = 14224896.

The previous prime is 33138923. The next prime is 33138949. The reversal of 33138945 is 54983133.

It is not a de Polignac number, because 33138945 - 2⁶ = 33138881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33138949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293209 + ... + 293321.

It is an arithmetic number, because the mean of its divisors is an integer number (741000).

Almost surely, 2^33138945 is an apocalyptic number.

33138945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33138945 is an abundant number, since it is smaller than the sum of its proper divisors (37997055).

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

33138945 is a wasteful number, since it uses less digits than its factorization.

33138945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 33138945 is about 5756.6435533217. The cubic root of 33138945 is about 321.2029752463.

The spelling of 33138945 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred forty-five".