33750 has 40 divisors (see below), whose sum is σ = 93720. Its totient is φ = 9000.

The previous prime is 33749. The next prime is 33751. The reversal of 33750 is 5733.

33750 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (33749) and next prime (33751).

It is a super-2 number, since 2×33750² = 2278125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33751) 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, 6748 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (2343).

2³³⁷⁵⁰ is an apocalyptic number.

33750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46860).

33750 is an abundant number, since it is smaller than the sum of its proper divisors (59970).

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

33750 is an equidigital number, since it uses as much as digits as its factorization.

33750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 33750 is about 183.7117307087. The cubic root of 33750 is about 32.3165203505.

The spelling of 33750 in words is "thirty-three thousand, seven hundred fifty".