292104 has 24 divisors (see below), whose sum is σ = 791310. Its totient is φ = 97344.

The previous prime is 292093. The next prime is 292133. The reversal of 292104 is 401292.

292104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 44100 = 498^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292104.

It is an unprimeable number.

292104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1957 + ... + 2100.

2²⁹²¹⁰⁴ is an apocalyptic number.

292104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

292104 is an abundant number, since it is smaller than the sum of its proper divisors (499206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

292104 is a wasteful number, since it uses less digits than its factorization.

292104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 292104 is about 540.4664651947. The cubic root of 292104 is about 66.3507497568.

Adding to 292104 its reverse (401292), we get a palindrome (693396).

It can be divided in two parts, 29 and 2104, that multiplied together give a palindrome (61016).

The spelling of 292104 in words is "two hundred ninety-two thousand, one hundred four".