4257645 has 64 divisors (see below), whose sum is σ = 8515584. Its totient is φ = 1774080.

The previous prime is 4257641. The next prime is 4257647. The reversal of 4257645 is 5467524.

4257645 = 648² + 649² + ... + 657².

It is not a de Polignac number, because 4257645 - 2² = 4257641 is a prime.

It is a super-3 number, since 3×4257645³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 4 + 2²² + 5² + 7 + 6⁶ + 4⁵ + 5⁶ .

4257645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257641) 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 63 ways as a sum of consecutive naturals, for example, 98994 + ... + 99036.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 2^4257645 is an apocalyptic number.

It is an amenable number.

4257645 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4257645 is a wasteful number, since it uses less digits than its factorization.

4257645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 33600, while the sum is 33.

The square root of 4257645 is about 2063.4061645735. The cubic root of 4257645 is about 162.0776567174.

The spelling of 4257645 in words is "four million, two hundred fifty-seven thousand, six hundred forty-five".