104653 has 4 divisors (see below), whose sum is σ = 105340. Its totient is φ = 103968.

The previous prime is 104651. The next prime is 104659. The reversal of 104653 is 356401.

104653 is a nontrivial binomial coefficient, being equal to C(458, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 356401 = 47 ⋅7583.

It can be written as a sum of positive squares in 2 ways, for example, as 94249 + 10404 = 307^2 + 102^2 .

It is a 3-Lehmer number, since φ(104653) divides (104653-1)³.

It is a cyclic number.

It is not a de Polignac number, because 104653 - 2¹ = 104651 is a prime.

It is the 324-th Hogben number.

104653 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 104653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104651) by changing a digit.

It is a nontrivial repunit in base 323.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (26335).

It is a Poulet number, since it divides 2¹⁰⁴⁶⁵²-1.

2¹⁰⁴⁶⁵³ is an apocalyptic number.

104653 is the 457-th triangular number and also the 229-th hexagonal number.

104653 is the 153-rd centered nonagonal number.

It is an amenable number.

104653 is a deficient number, since it is larger than the sum of its proper divisors (687).

104653 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 7 representation: 104653 = (614053)₇.

104653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 104653 is about 323.5011591942. The cubic root of 104653 is about 47.1249129310.

It can be divided in two parts, 104 and 653, that added together give a palindrome (757).

The spelling of 104653 in words is "one hundred four thousand, six hundred fifty-three".