78033 has 12 divisors (see below), whose sum is σ = 112560. Its totient is φ = 47952.

The previous prime is 78031. The next prime is 78041. The reversal of 78033 is 33087.

It is not a de Polignac number, because 78033 - 2¹ = 78031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78031) 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 11 ways as a sum of consecutive naturals, for example, 2091 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (9380).

2⁷⁸⁰³³ is an apocalyptic number.

It is an amenable number.

78033 is a deficient number, since it is larger than the sum of its proper divisors (34527).

78033 is a wasteful number, since it uses less digits than its factorization.

78033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 78033 is about 279.3438741050. The cubic root of 78033 is about 42.7326115117.

It can be divided in two parts, 7803 and 3, that multiplied together give a square (23409 = 153²).

The spelling of 78033 in words is "seventy-eight thousand, thirty-three".