91171956 has 48 divisors (see below), whose sum is σ = 226497600. Its totient is φ = 28461312.

The previous prime is 91171921. The next prime is 91171967. The reversal of 91171956 is 65917119.

It is a super-3 number, since 3×91171956³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18046 + ... + 22538.

It is an arithmetic number, because the mean of its divisors is an integer number (4718700).

Almost surely, 2^91171956 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 91171956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113248800).

91171956 is an abundant number, since it is smaller than the sum of its proper divisors (135325644).

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

91171956 is a wasteful number, since it uses less digits than its factorization.

91171956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4606 counting only the distinct ones).

The product of its digits is 17010, while the sum is 39.

The square root of 91171956 is about 9548.4007037828. The cubic root of 91171956 is about 450.0772805547.

The spelling of 91171956 in words is "ninety-one million, one hundred seventy-one thousand, nine hundred fifty-six".