67363 has 8 divisors (see below), whose sum is σ = 72576. Its totient is φ = 62400.

The previous prime is 67349. The next prime is 67369. The reversal of 67363 is 36376.

It is a happy number.

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 67363 - 2⁹ = 66851 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 11.

It is not an unprimeable number, because it can be changed into a prime (67369) 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, 1245 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁶⁷³⁶³ is an apocalyptic number.

67363 is a deficient number, since it is larger than the sum of its proper divisors (5213).

67363 is a wasteful number, since it uses less digits than its factorization.

67363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 2268, while the sum is 25.

The square root of 67363 is about 259.5438305951. The cubic root of 67363 is about 40.6886992795.

The spelling of 67363 in words is "sixty-seven thousand, three hundred sixty-three".