33465138 has 80 divisors (see below), whose sum is σ = 82282176. Its totient is φ = 9055200.

The previous prime is 33465121. The next prime is 33465139. The reversal of 33465138 is 83156433.

It is a super-2 number, since 2×33465138² = 2239830922718088, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 33465099 and 33465108.

It is not an unprimeable number, because it can be changed into a prime (33465139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331288 + ... + 331388.

Almost surely, 2^33465138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33465138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141088).

33465138 is an abundant number, since it is smaller than the sum of its proper divisors (48817038).

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

33465138 is a wasteful number, since it uses less digits than its factorization.

33465138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 33465138 is about 5784.9060493667. The cubic root of 33465138 is about 322.2534236840.

The spelling of 33465138 in words is "thirty-three million, four hundred sixty-five thousand, one hundred thirty-eight".