4638825 has 36 divisors (see below), whose sum is σ = 8487180. Its totient is φ = 2421120.

The previous prime is 4638791. The next prime is 4638827. The reversal of 4638825 is 5288364.

It can be written as a sum of positive squares in 6 ways, for example, as 127449 + 4511376 = 357^2 + 2124^2 .

It is not a de Polignac number, because 4638825 - 2⁶ = 4638761 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4638825.

It is not an unprimeable number, because it can be changed into a prime (4638827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11731 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (235755).

Almost surely, 2^4638825 is an apocalyptic number.

4638825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4638825 is a deficient number, since it is larger than the sum of its proper divisors (3848355).

4638825 is a wasteful number, since it uses less digits than its factorization.

4638825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4638825 is about 2153.7931655570. The cubic root of 4638825 is about 166.7769381362.

The spelling of 4638825 in words is "four million, six hundred thirty-eight thousand, eight hundred twenty-five".