67813 has 4 divisors (see below), whose sum is σ = 71820. Its totient is φ = 63808.

The previous prime is 67807. The next prime is 67819. The reversal of 67813 is 31876.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (67807) and next prime (67819).

It can be written as a sum of positive squares in 2 ways, for example, as 42849 + 24964 = 207^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 67813 - 2¹³ = 59621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67819) 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 3 ways as a sum of consecutive naturals, for example, 1978 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁶⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

67813 is a deficient number, since it is larger than the sum of its proper divisors (4007).

67813 is a wasteful number, since it uses less digits than its factorization.

67813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006.

The product of its digits is 1008, while the sum is 25.

The square root of 67813 is about 260.4092932289. The cubic root of 67813 is about 40.7791014977.

Subtracting from 67813 its reverse (31876), we obtain a cube (35937 = 33³).

The spelling of 67813 in words is "sixty-seven thousand, eight hundred thirteen".