4257205 has 8 divisors (see below), whose sum is σ = 5130072. Its totient is φ = 3391488.

The previous prime is 4257203. The next prime is 4257217. The reversal of 4257205 is 5027524.

It can be written as a sum of positive squares in 4 ways, for example, as 2634129 + 1623076 = 1623^2 + 1274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4257205 - 2¹ = 4257203 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4257205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (641259).

Almost surely, 2^4257205 is an apocalyptic number.

It is an amenable number.

4257205 is a deficient number, since it is larger than the sum of its proper divisors (872867).

4257205 is a wasteful number, since it uses less digits than its factorization.

4257205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575.

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 4257205 is about 2063.2995419958. The cubic root of 4257205 is about 162.0720733002.

The spelling of 4257205 in words is "four million, two hundred fifty-seven thousand, two hundred five".