4140625 has 16 divisors (see below), whose sum is σ = 5273424. Its totient is φ = 3250000.

The previous prime is 4140623. The next prime is 4140629. The reversal of 4140625 is 5260414.

It can be written as a sum of positive squares in 8 ways, for example, as 3564544 + 576081 = 1888^2 + 759^2 .

It is not a de Polignac number, because 4140625 - 2¹ = 4140623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4140596 and 4140605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78099 + ... + 78151.

It is an arithmetic number, because the mean of its divisors is an integer number (329589).

Almost surely, 2^4140625 is an apocalyptic number.

It is an amenable number.

4140625 is a deficient number, since it is larger than the sum of its proper divisors (1132799).

4140625 is an frugal number, since it uses more digits than its factorization.

4140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4140625 is about 2034.8525745125. The cubic root of 4140625 is about 160.5789572141.

It can be divided in two parts, 4 and 140625, that multiplied together give a square (562500 = 750²).

The spelling of 4140625 in words is "four million, one hundred forty thousand, six hundred twenty-five".