97773 has 16 divisors (see below), whose sum is σ = 147840. Its totient is φ = 57024.

The previous prime is 97771. The next prime is 97777. The reversal of 97773 is 37779.

It is not a de Polignac number, because 97773 - 2¹ = 97771 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁹⁷⁷⁷³ is an apocalyptic number.

It is an amenable number.

97773 is a deficient number, since it is larger than the sum of its proper divisors (50067).

97773 is a wasteful number, since it uses less digits than its factorization.

97773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

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

The square root of 97773 is about 312.6867442026. The cubic root of 97773 is about 46.0687378136.

The spelling of 97773 in words is "ninety-seven thousand, seven hundred seventy-three".