91753 has 2 divisors, whose sum is σ = 91754. Its totient is φ = 91752.

The previous prime is 91733. The next prime is 91757. The reversal of 91753 is 35719.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 11664 = 283^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 91753 - 2¹³ = 83561 is a prime.

It is a super-2 number, since 2×91753² = 16837226018, which contains 22 as substring.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (91757) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45876 + 45877.

It is an arithmetic number, because the mean of its divisors is an integer number (45877).

2⁹¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

91753 is a deficient number, since it is larger than the sum of its proper divisors (1).

91753 is an equidigital number, since it uses as much as digits as its factorization.

91753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 25.

The square root of 91753 is about 302.9075766632. The cubic root of 91753 is about 45.1031379177.

The spelling of 91753 in words is "ninety-one thousand, seven hundred fifty-three".