67033 has 2 divisors, whose sum is σ = 67034. Its totient is φ = 67032.

The previous prime is 67021. The next prime is 67043. The reversal of 67033 is 33076.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 28224 = 197^2 + 168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67033 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 67033.

It is not a weakly prime, because it can be changed into another prime (67003) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33516 + 33517.

It is an arithmetic number, because the mean of its divisors is an integer number (33517).

2⁶⁷⁰³³ is an apocalyptic number.

It is an amenable number.

67033 is a deficient number, since it is larger than the sum of its proper divisors (1).

67033 is an equidigital number, since it uses as much as digits as its factorization.

67033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 67033 is about 258.9073193249. The cubic root of 67033 is about 40.6221481233.

It can be divided in two parts, 670 and 33, that added together give a triangular number (703 = T₃₇).

The spelling of 67033 in words is "sixty-seven thousand, thirty-three".