4053645 has 20 divisors (see below), whose sum is σ = 7267260. Its totient is φ = 2161728.

The previous prime is 4053641. The next prime is 4053659. The reversal of 4053645 is 5463504.

It can be written as a sum of positive squares in 2 ways, for example, as 3143529 + 910116 = 1773^2 + 954^2 .

It is not a de Polignac number, because 4053645 - 2² = 4053641 is a prime.

It is a super-3 number, since 3×4053645³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 4¹⁰ + 0 + 5⁵ + 3³ + 6³ + 4¹⁰ + 5⁹ .

4053645 is a modest number, since divided by 3645 gives 405 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4600 + ... + 5409.

It is an arithmetic number, because the mean of its divisors is an integer number (363363).

Almost surely, 2^4053645 is an apocalyptic number.

4053645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4053645 is a deficient number, since it is larger than the sum of its proper divisors (3213615).

4053645 is a wasteful number, since it uses less digits than its factorization.

4053645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4053645 is about 2013.3665836106. The cubic root of 4053645 is about 159.4465906743.

It can be divided in two parts, 405 and 3645, that multiplied together give a square (1476225 = 1215²).

The spelling of 4053645 in words is "four million, fifty-three thousand, six hundred forty-five".