91288 has 8 divisors (see below), whose sum is σ = 171180. Its totient is φ = 45640.

The previous prime is 91283. The next prime is 91291. The reversal of 91288 is 88219.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5698 + ... + 5713.

2⁹¹²⁸⁸ is an apocalyptic number.

91288 is the 162-nd centered heptagonal number.

It is an amenable number.

91288 is a deficient number, since it is larger than the sum of its proper divisors (79892).

91288 is a wasteful number, since it uses less digits than its factorization.

91288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11413 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 91288 is about 302.1390408405. The cubic root of 91288 is about 45.0268152934.

It can be divided in two parts, 912 and 88, that added together give a cube (1000 = 10³).

The spelling of 91288 in words is "ninety-one thousand, two hundred eighty-eight".