33858 has 40 divisors (see below), whose sum is σ = 87120. Its totient is φ = 9720.

The previous prime is 33857. The next prime is 33863. The reversal of 33858 is 85833.

It is a super-2 number, since 2×33858² = 2292728328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1773 + ... + 1791.

It is an arithmetic number, because the mean of its divisors is an integer number (2178).

2³³⁸⁵⁸ is an apocalyptic number.

33858 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560).

33858 is an abundant number, since it is smaller than the sum of its proper divisors (53262).

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

33858 is a wasteful number, since it uses less digits than its factorization.

33858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 35 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 33858 is about 184.0054347023. The cubic root of 33858 is about 32.3509546017.

The spelling of 33858 in words is "thirty-three thousand, eight hundred fifty-eight".