33150 has 48 divisors (see below), whose sum is σ = 93744. Its totient is φ = 7680.

The previous prime is 33149. The next prime is 33151. The reversal of 33150 is 5133.

It is a happy number.

33150 is nontrivially palindromic in base 14.

33150 is digitally balanced in base 2, base 4 and base 6, 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 (33149) and next prime (33151).

33150 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2³³¹⁵⁰ is an apocalyptic number.

33150 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 33150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

33150 is an abundant number, since it is smaller than the sum of its proper divisors (60594).

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

33150 is a wasteful number, since it uses less digits than its factorization.

33150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 33150 is about 182.0714145603. The cubic root of 33150 is about 32.1238688555.

Adding to 33150 its reverse (5133), we get a palindrome (38283).

It can be divided in two parts, 33 and 150, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 33150 in words is "thirty-three thousand, one hundred fifty".