92484 has 36 divisors (see below), whose sum is σ = 267904. Its totient is φ = 26352.

The previous prime is 92479. The next prime is 92489. The reversal of 92484 is 48429.

It is an interprime number because it is at equal distance from previous prime (92479) and next prime (92489).

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (2304) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92484.

It is not an unprimeable number, because it can be changed into a prime (92489) 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 11 ways as a sum of consecutive naturals, for example, 69 + ... + 435.

2⁹²⁴⁸⁴ 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 92484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133952).

92484 is an abundant number, since it is smaller than the sum of its proper divisors (175420).

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

92484 is a wasteful number, since it uses less digits than its factorization.

92484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 92484 is about 304.1118215394. Note that the first 3 decimals coincide. The cubic root of 92484 is about 45.2226007526. Note that the first 3 decimals are identical.

It can be divided in two parts, 92 and 484, that added together give a square (576 = 24²).

The spelling of 92484 in words is "ninety-two thousand, four hundred eighty-four".