4225000 has 72 divisors (see below), whose sum is σ = 10721970. Its totient is φ = 1560000.

The previous prime is 4224991. The next prime is 4225003. The reversal of 4225000 is 5224.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 3481956 + 743044 = 1866^2 + 862^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (4225003) 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 17 ways as a sum of consecutive naturals, for example, 324994 + ... + 325006.

Almost surely, 2^4225000 is an apocalyptic number.

4225000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360985).

4225000 is an abundant number, since it is smaller than the sum of its proper divisors (6496970).

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

4225000 is an equidigital number, since it uses as much as digits as its factorization.

4225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4225000 is about 2055.4804791094. The cubic root of 4225000 is about 161.6623562578.

The spelling of 4225000 in words is "four million, two hundred twenty-five thousand".