4492125 has 64 divisors (see below), whose sum is σ = 9135360. Its totient is φ = 2178000.

The previous prime is 4492123. The next prime is 4492157. The reversal of 4492125 is 5212944.

The cubic root of 4492125 is 165.

It is a perfect power (a cube), and thus also a powerful number.

4492125 is a `hidden beast` number, since 449 + 212 + 5 = 666.

It is not a de Polignac number, because 4492125 - 2¹ = 4492123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408370 + ... + 408380.

It is an arithmetic number, because the mean of its divisors is an integer number (142740).

Almost surely, 2^4492125 is an apocalyptic number.

4492125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4492125 is an abundant number, since it is smaller than the sum of its proper divisors (4643235).

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

4492125 is an equidigital number, since it uses as much as digits as its factorization.

4492125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 19 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4492125 is about 2119.4633754797.

Multiplying 4492125 by its sum of digits (27), we get a cube (121287375 = 495³).

4492125 divided by its sum of digits (27) gives a cube (166375 = 55³).

The spelling of 4492125 in words is "four million, four hundred ninety-two thousand, one hundred twenty-five".