91973 has 6 divisors (see below), whose sum is σ = 107046. Its totient is φ = 78792.

The previous prime is 91969. The next prime is 91997. The reversal of 91973 is 37919.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 9604 = 287^2 + 98^2 .

It is not a de Polignac number, because 91973 - 2² = 91969 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 890 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (17841).

2⁹¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

91973 is a deficient number, since it is larger than the sum of its proper divisors (15073).

91973 is a wasteful number, since it uses less digits than its factorization.

91973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1884 counting only the distinct ones).

The product of its digits is 1701, while the sum is 29.

The square root of 91973 is about 303.2705063141. The cubic root of 91973 is about 45.1391577034.

The spelling of 91973 in words is "ninety-one thousand, nine hundred seventy-three".