91955934 has 96 divisors (see below), whose sum is σ = 243509760. Its totient is φ = 24494400.

The previous prime is 91955933. The next prime is 91955939. The reversal of 91955934 is 43955919.

It is a happy number.

91955934 is a `hidden beast` number, since 91 + 9 + 559 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 91955934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91955933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169704 + ... + 170244.

It is an arithmetic number, because the mean of its divisors is an integer number (2536560).

Almost surely, 2^91955934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91955934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121754880).

91955934 is an abundant number, since it is smaller than the sum of its proper divisors (151553826).

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

91955934 is a wasteful number, since it uses less digits than its factorization.

91955934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 643 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 91955934 is about 9589.3656724520. The cubic root of 91955934 is about 451.3636560676.

It can be divided in two parts, 9195 and 5934, that added together give a square (15129 = 123²).

The spelling of 91955934 in words is "ninety-one million, nine hundred fifty-five thousand, nine hundred thirty-four".