33145 has 8 divisors (see below), whose sum is σ = 45504. Its totient is φ = 22704.

The previous prime is 33119. The next prime is 33149. The reversal of 33145 is 54133.

33145 = 53² + 54² + ... + 62².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33145 - 2⁵ = 33113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (5688).

2³³¹⁴⁵ is an apocalyptic number.

33145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33145 is a deficient number, since it is larger than the sum of its proper divisors (12359).

33145 is an equidigital number, since it uses as much as digits as its factorization.

33145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959.

The product of its digits is 180, while the sum is 16.

The square root of 33145 is about 182.0576831666. The cubic root of 33145 is about 32.1222536979.

Adding to 33145 its reverse (54133), we get a palindrome (87278).

The spelling of 33145 in words is "thirty-three thousand, one hundred forty-five".