92004 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 25600.

The previous prime is 92003. The next prime is 92009. The reversal of 92004 is 40029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁹²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

92004 is an abundant number, since it is smaller than the sum of its proper divisors (162012).

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

92004 is a wasteful number, since it uses less digits than its factorization.

92004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92004 is about 303.3216114951. The cubic root of 92004 is about 45.1442286000.

The spelling of 92004 in words is "ninety-two thousand, four".