91793961 has 48 divisors (see below), whose sum is σ = 160243200. Its totient is φ = 49521024.

The previous prime is 91793941. The next prime is 91794013. The reversal of 91793961 is 16939719.

It is not a de Polignac number, because 91793961 - 2⁷ = 91793833 is a prime.

It is a super-2 number, since 2×91793961² = 16852262552139042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91793941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85335 + ... + 86403.

It is an arithmetic number, because the mean of its divisors is an integer number (3338400).

Almost surely, 2^91793961 is an apocalyptic number.

It is an amenable number.

91793961 is a deficient number, since it is larger than the sum of its proper divisors (68449239).

91793961 is a wasteful number, since it uses less digits than its factorization.

91793961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1155 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 91793961 is about 9580.9165010452. The cubic root of 91793961 is about 451.0984866929.

The spelling of 91793961 in words is "ninety-one million, seven hundred ninety-three thousand, nine hundred sixty-one".