4133825 has 24 divisors (see below), whose sum is σ = 5442360. Its totient is φ = 3110400.

The previous prime is 4133821. The next prime is 4133837. The reversal of 4133825 is 5283314.

It can be written as a sum of positive squares in 12 ways, for example, as 908209 + 3225616 = 953^2 + 1796^2 .

It is not a de Polignac number, because 4133825 - 2² = 4133821 is a prime.

Its product of digits (2880) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 4133794 and 4133803.

It is not an unprimeable number, because it can be changed into a prime (4133821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37871 + ... + 37979.

It is an arithmetic number, because the mean of its divisors is an integer number (226765).

Almost surely, 2^4133825 is an apocalyptic number.

It is an amenable number.

4133825 is a deficient number, since it is larger than the sum of its proper divisors (1308535).

4133825 is a wasteful number, since it uses less digits than its factorization.

4133825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 4133825 is about 2033.1810052231. The cubic root of 4133825 is about 160.4910046944.

The spelling of 4133825 in words is "four million, one hundred thirty-three thousand, eight hundred twenty-five".