91828961 has 8 divisors (see below), whose sum is σ = 105033600. Its totient is φ = 78645888.

The previous prime is 91828943. The next prime is 91828981. The reversal of 91828961 is 16982819.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91828961 - 2²⁶ = 24720097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91828901) 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, 5105 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (13129200).

Almost surely, 2^91828961 is an apocalyptic number.

It is an amenable number.

91828961 is a deficient number, since it is larger than the sum of its proper divisors (13204639).

91828961 is a wasteful number, since it uses less digits than its factorization.

91828961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10783.

The product of its digits is 62208, while the sum is 44.

The square root of 91828961 is about 9582.7428745636. The cubic root of 91828961 is about 451.1558123260.

The spelling of 91828961 in words is "ninety-one million, eight hundred twenty-eight thousand, nine hundred sixty-one".