91653 has 8 divisors (see below), whose sum is σ = 123648. Its totient is φ = 60384.

The previous prime is 91639. The next prime is 91673. The reversal of 91653 is 35619.

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

It is not a de Polignac number, because 91653 - 2⁵ = 91621 is a prime.

It is a Curzon 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (15456).

2⁹¹⁶⁵³ is an apocalyptic number.

It is an amenable number.

91653 is a deficient number, since it is larger than the sum of its proper divisors (31995).

91653 is a wasteful number, since it uses less digits than its factorization.

91653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its digits is 810, while the sum is 24.

The square root of 91653 is about 302.7424648113. The cubic root of 91653 is about 45.0867462525.

It can be divided in two parts, 9165 and 3, that multiplied together give a triangular number (27495 = T₂₃₄).

The spelling of 91653 in words is "ninety-one thousand, six hundred fifty-three".