33829530 has 32 divisors (see below), whose sum is σ = 92790144. Its totient is φ = 7732416.

The previous prime is 33829513. The next prime is 33829531. The reversal of 33829530 is 3592833.

It is a super-2 number, since 2×33829530² = 2288874200041800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33829491 and 33829500.

It is not an unprimeable number, because it can be changed into a prime (33829531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80337 + ... + 80756.

It is an arithmetic number, because the mean of its divisors is an integer number (2899692).

Almost surely, 2^33829530 is an apocalyptic number.

33829530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33829530 is an abundant number, since it is smaller than the sum of its proper divisors (58960614).

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

33829530 is a wasteful number, since it uses less digits than its factorization.

33829530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161110.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 33829530 is about 5816.3158442437. The cubic root of 33829530 is about 323.4188446614.

The spelling of 33829530 in words is "thirty-three million, eight hundred twenty-nine thousand, five hundred thirty".