73813 has 4 divisors (see below), whose sum is σ = 74368. Its totient is φ = 73260.

The previous prime is 73783. The next prime is 73819. The reversal of 73813 is 31837.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73813 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 9 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (18592).

2⁷³⁸¹³ is an apocalyptic number.

It is an amenable number.

73813 is a deficient number, since it is larger than the sum of its proper divisors (555).

73813 is a wasteful number, since it uses less digits than its factorization.

73813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its digits is 504, while the sum is 22.

The square root of 73813 is about 271.6854799212. The cubic root of 73813 is about 41.9479703417.

The spelling of 73813 in words is "seventy-three thousand, eight hundred thirteen".