104564 has 6 divisors (see below), whose sum is σ = 182994. Its totient is φ = 52280.

The previous prime is 104561. The next prime is 104579. The reversal of 104564 is 465401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 8464 = 310^2 + 92^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13067 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (30499).

2¹⁰⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

104564 is a deficient number, since it is larger than the sum of its proper divisors (78430).

104564 is a wasteful number, since it uses less digits than its factorization.

104564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26145 (or 26143 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 104564 is about 323.3635724691. The cubic root of 104564 is about 47.1115503367. Note that the first 3 decimals are identical.

Adding to 104564 its reverse (465401), we get a palindrome (569965).

The spelling of 104564 in words is "one hundred four thousand, five hundred sixty-four".