91741152 has 96 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 28546560.

The previous prime is 91741151. The next prime is 91741171. The reversal of 91741152 is 25114719.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91741151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85773 + ... + 86835.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^91741152 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 91741152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

91741152 is an abundant number, since it is smaller than the sum of its proper divisors (165661728).

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

91741152 is a wasteful number, since it uses less digits than its factorization.

91741152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1128 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 91741152 is about 9578.1601573580. The cubic root of 91741152 is about 451.0119645533.

The spelling of 91741152 in words is "ninety-one million, seven hundred forty-one thousand, one hundred fifty-two".