91355 has 12 divisors (see below), whose sum is σ = 121296. Its totient is φ = 66000.

The previous prime is 91331. The next prime is 91367. The reversal of 91355 is 55319.

91355 = 40² + 41² + ... + 69².

It is not a de Polignac number, because 91355 - 2⁶ = 91291 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91355.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2⁹¹³⁵⁵ is an apocalyptic number.

91355 is a deficient number, since it is larger than the sum of its proper divisors (29941).

91355 is a wasteful number, since it uses less digits than its factorization.

91355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 675, while the sum is 23.

The square root of 91355 is about 302.2498966087. The cubic root of 91355 is about 45.0378282739.

Adding to 91355 its sum of digits (23), we get a triangular number (91378 = T₄₂₇).

The spelling of 91355 in words is "ninety-one thousand, three hundred fifty-five".