91314784 has 48 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 39698560.

The previous prime is 91314781. The next prime is 91314787. The reversal of 91314784 is 48741319.

It is an interprime number because it is at equal distance from previous prime (91314781) and next prime (91314787).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91314781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457 + ... + 13735.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2^91314784 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 91314784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

91314784 is an abundant number, since it is smaller than the sum of its proper divisors (113349536).

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

91314784 is a wasteful number, since it uses less digits than its factorization.

91314784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11315 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 91314784 is about 9555.8769351640. The cubic root of 91314784 is about 450.3121850194.

The spelling of 91314784 in words is "ninety-one million, three hundred fourteen thousand, seven hundred eighty-four".