91936 has 36 divisors (see below), whose sum is σ = 207522. Its totient is φ = 39936.

The previous prime is 91921. The next prime is 91939. The reversal of 91936 is 63919.

It is a happy number.

91936 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 59536 + 32400 = 244^2 + 180^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91939) 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 in 5 ways as a sum of consecutive naturals, for example, 5400 + ... + 5416.

2⁹¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103761).

91936 is an abundant number, since it is smaller than the sum of its proper divisors (115586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91936 is a wasteful number, since it uses less digits than its factorization.

91936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 32 counting only the distinct ones).

The product of its digits is 1458, while the sum is 28.

The square root of 91936 is about 303.2094985320. The cubic root of 91936 is about 45.1331038512.

It can be divided in two parts, 9 and 1936, that multiplied together give a square (17424 = 132²).

The spelling of 91936 in words is "ninety-one thousand, nine hundred thirty-six".