91838201 has 12 divisors (see below), whose sum is σ = 115050852. Its totient is φ = 72662688.

The previous prime is 91838177. The next prime is 91838221. The reversal of 91838201 is 10283819.

It can be written as a sum of positive squares in 2 ways, for example, as 21864976 + 69973225 = 4676^2 + 8365^2 .

It is not a de Polignac number, because 91838201 - 2²⁶ = 24729337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91838221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71450 + ... + 72723.

It is an arithmetic number, because the mean of its divisors is an integer number (9587571).

Almost surely, 2^91838201 is an apocalyptic number.

91838201 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

91838201 is a deficient number, since it is larger than the sum of its proper divisors (23212651).

91838201 is a wasteful number, since it uses less digits than its factorization.

91838201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144200 (or 144193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 91838201 is about 9583.2249790976. The cubic root of 91838201 is about 451.1709438628.

The spelling of 91838201 in words is "ninety-one million, eight hundred thirty-eight thousand, two hundred one".