91948801 has 16 divisors (see below), whose sum is σ = 111538944. Its totient is φ = 73995264.

The previous prime is 91948781. The next prime is 91948807. The reversal of 91948801 is 10884919.

It is not a de Polignac number, because 91948801 - 2⁷ = 91948673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91948807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69916 + ... + 71218.

It is an arithmetic number, because the mean of its divisors is an integer number (6971184).

Almost surely, 2^91948801 is an apocalyptic number.

It is an amenable number.

91948801 is a deficient number, since it is larger than the sum of its proper divisors (19590143).

91948801 is a wasteful number, since it uses less digits than its factorization.

91948801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920.

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 91948801 is about 9588.9937428283. The cubic root of 91948801 is about 451.3519850419.

The spelling of 91948801 in words is "ninety-one million, nine hundred forty-eight thousand, eight hundred one".