91825152 has 88 divisors (see below), whose sum is σ = 248784192. Its totient is φ = 30105600.

The previous prime is 91825121. The next prime is 91825159. The reversal of 91825152 is 25152819.

It is not an unprimeable number, because it can be changed into a prime (91825159) 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, 217902 + ... + 218322.

Almost surely, 2^91825152 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 91825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124392096).

91825152 is an abundant number, since it is smaller than the sum of its proper divisors (156959040).

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

91825152 is a wasteful number, since it uses less digits than its factorization.

91825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The square root of 91825152 is about 9582.5441298227. The cubic root of 91825152 is about 451.1495743657.

The spelling of 91825152 in words is "ninety-one million, eight hundred twenty-five thousand, one hundred fifty-two".