3842561 has 16 divisors (see below), whose sum is σ = 4309200. Its totient is φ = 3409920.

The previous prime is 3842557. The next prime is 3842569. The reversal of 3842561 is 1652483.

It can be written as a sum of positive squares in 8 ways, for example, as 59536 + 3783025 = 244^2 + 1945^2 .

It is not a de Polignac number, because 3842561 - 2² = 3842557 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 8 + 4⁸ + 2²¹ + 5 + 6⁸ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3842569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25715 + ... + 25863.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^3842561 is an apocalyptic number.

It is an amenable number.

3842561 is a deficient number, since it is larger than the sum of its proper divisors (466639).

3842561 is a wasteful number, since it uses less digits than its factorization.

3842561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its digits is 5760, while the sum is 29.

The square root of 3842561 is about 1960.2451377315. The cubic root of 3842561 is about 156.6295103273.

The spelling of 3842561 in words is "three million, eight hundred forty-two thousand, five hundred sixty-one".