91984 has 10 divisors (see below), whose sum is σ = 178250. Its totient is φ = 45984.

The previous prime is 91969. The next prime is 91997. The reversal of 91984 is 48919.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 40000 = 228^2 + 200^2 .

It is a super-2 number, since 2×91984² = 16922112512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2859 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (17825).

2⁹¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

91984 is a deficient number, since it is larger than the sum of its proper divisors (86266).

91984 is a wasteful number, since it uses less digits than its factorization.

91984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5751 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 91984 is about 303.2886413963. The cubic root of 91984 is about 45.1409571842.

The spelling of 91984 in words is "ninety-one thousand, nine hundred eighty-four".