91601 has 4 divisors (see below), whose sum is σ = 92400. Its totient is φ = 90804.

The previous prime is 91591. The next prime is 91621. The reversal of 91601 is 10619.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 91601 - 2¹⁴ = 75217 is a prime.

It is a Duffinian number.

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 91601.

It is not an unprimeable number, because it can be changed into a prime (91621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2⁹¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

91601 is a deficient number, since it is larger than the sum of its proper divisors (799).

91601 is a wasteful number, since it uses less digits than its factorization.

91601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 91601 is about 302.6565710504. The cubic root of 91601 is about 45.0782178743.

The spelling of 91601 in words is "ninety-one thousand, six hundred one".