91553166 has 48 divisors (see below), whose sum is σ = 206794224. Its totient is φ = 30357504.

The previous prime is 91553141. The next prime is 91553171. The reversal of 91553166 is 66135519.

91553166 is a `hidden beast` number, since 91 + 553 + 16 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91553166.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124536 + ... + 125268.

It is an arithmetic number, because the mean of its divisors is an integer number (4308213).

Almost surely, 2^91553166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91553166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103397112).

91553166 is an abundant number, since it is smaller than the sum of its proper divisors (115241058).

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

91553166 is a wasteful number, since it uses less digits than its factorization.

91553166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 91553166 is about 9568.3418626218. The cubic root of 91553166 is about 450.7036989991.

It can be divided in two parts, 91553 and 166, that added together give a palindrome (91719).

The spelling of 91553166 in words is "ninety-one million, five hundred fifty-three thousand, one hundred sixty-six".