91755 has 12 divisors (see below), whose sum is σ = 159120. Its totient is φ = 48912.

The previous prime is 91753. The next prime is 91757. The reversal of 91755 is 55719.

It is an interprime number because it is at equal distance from previous prime (91753) and next prime (91757).

It is not a de Polignac number, because 91755 - 2¹ = 91753 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91755.

It is not an unprimeable number, because it can be changed into a prime (91753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

2⁹¹⁷⁵⁵ is an apocalyptic number.

91755 is a deficient number, since it is larger than the sum of its proper divisors (67365).

91755 is a wasteful number, since it uses less digits than its factorization.

91755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2047 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 91755 is about 302.9108779823. The cubic root of 91755 is about 45.1034656295.

It can be divided in two parts, 9175 and 5, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 91755 in words is "ninety-one thousand, seven hundred fifty-five".