91761 has 8 divisors (see below), whose sum is σ = 124320. Its totient is φ = 60192.

The previous prime is 91757. The next prime is 91771. The reversal of 91761 is 16719.

91761 = T₉ + T₁₀ + ... + T₈₁.

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

It is not a de Polignac number, because 91761 - 2² = 91757 is a prime.

It is a super-2 number, since 2×91761² = 16840162242, which contains 22 as substring.

It is a Curzon number.

91761 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91761.

It is not an unprimeable number, because it can be changed into a prime (91711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2⁹¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

91761 is a deficient number, since it is larger than the sum of its proper divisors (32559).

91761 is a wasteful number, since it uses less digits than its factorization.

91761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its digits is 378, while the sum is 24.

The square root of 91761 is about 302.9207817235. The cubic root of 91761 is about 45.1044487363.

It can be divided in two parts, 9 and 1761, that added together give a triangular number (1770 = T₅₉).

The spelling of 91761 in words is "ninety-one thousand, seven hundred sixty-one".