73797 has 8 divisors (see below), whose sum is σ = 104256. Its totient is φ = 46272.

The previous prime is 73783. The next prime is 73819. The reversal of 73797 is 79737.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73797 - 2¹⁴ = 57413 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (13032).

2⁷³⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

73797 is a deficient number, since it is larger than the sum of its proper divisors (30459).

73797 is a wasteful number, since it uses less digits than its factorization.

73797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its digits is 9261, while the sum is 33.

The square root of 73797 is about 271.6560325117. The cubic root of 73797 is about 41.9449391862.

The spelling of 73797 in words is "seventy-three thousand, seven hundred ninety-seven".