91613 has 6 divisors (see below), whose sum is σ = 97626. Its totient is φ = 85952.

The previous prime is 91591. The next prime is 91621. The reversal of 91613 is 31619.

It can be written as a sum of positive squares in 3 ways, for example, as 14884 + 76729 = 122^2 + 277^2 .

It is not a de Polignac number, because 91613 - 2¹² = 87517 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (16271).

2⁹¹⁶¹³ is an apocalyptic number.

It is an amenable number.

91613 is a deficient number, since it is larger than the sum of its proper divisors (6013).

91613 is a wasteful number, since it uses less digits than its factorization.

91613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 91613 is about 302.6763948510. The cubic root of 91613 is about 45.0801862480.

It can be divided in two parts, 916 and 13, that added together give a palindrome (929).

The spelling of 91613 in words is "ninety-one thousand, six hundred thirteen".