33829985 has 16 divisors (see below), whose sum is σ = 46490112. Its totient is φ = 23150400.

The previous prime is 33829973. The next prime is 33829993. The reversal of 33829985 is 58992833.

It is not a de Polignac number, because 33829985 - 2¹⁴ = 33813601 is a prime.

It is a super-2 number, since 2×33829985² = 2288935770200450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31355 + ... + 32415.

It is an arithmetic number, because the mean of its divisors is an integer number (2905632).

Almost surely, 2^33829985 is an apocalyptic number.

33829985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33829985 is a deficient number, since it is larger than the sum of its proper divisors (12660127).

33829985 is a wasteful number, since it uses less digits than its factorization.

33829985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984.

The product of its digits is 466560, while the sum is 47.

The square root of 33829985 is about 5816.3549582191. The cubic root of 33829985 is about 323.4202946265.

The spelling of 33829985 in words is "thirty-three million, eight hundred twenty-nine thousand, nine hundred eighty-five".