48033 has 10 divisors (see below), whose sum is σ = 71874. Its totient is φ = 31968.

The previous prime is 48029. The next prime is 48049. The reversal of 48033 is 33084.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 5184 = 207^2 + 72^2 .

It is not a de Polignac number, because 48033 - 2² = 48029 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47997 and 48015.

It is not an unprimeable number, because it can be changed into a prime (48023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 216 + ... + 377.

2⁴⁸⁰³³ is an apocalyptic number.

It is an amenable number.

48033 is a deficient number, since it is larger than the sum of its proper divisors (23841).

48033 is an equidigital number, since it uses as much as digits as its factorization.

48033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 48033 is about 219.1643219139. The cubic root of 48033 is about 36.3507384181.

The spelling of 48033 in words is "forty-eight thousand, thirty-three".