4257133 has 2 divisors, whose sum is σ = 4257134. Its totient is φ = 4257132.

The previous prime is 4257131. The next prime is 4257161. The reversal of 4257133 is 3317524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2812329 + 1444804 = 1677^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 4257133 - 2¹ = 4257131 is a prime.

Together with 4257131, it forms a pair of twin primes.

4257133 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4257098 and 4257107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4257131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2128566 + 2128567.

It is an arithmetic number, because the mean of its divisors is an integer number (2128567).

Almost surely, 2^4257133 is an apocalyptic number.

It is an amenable number.

4257133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4257133 is an equidigital number, since it uses as much as digits as its factorization.

4257133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 25.

The square root of 4257133 is about 2063.2820941403. The cubic root of 4257133 is about 162.0711596134.

It can be divided in two parts, 42 and 57133, that added together give a palindrome (57175).

The spelling of 4257133 in words is "four million, two hundred fifty-seven thousand, one hundred thirty-three".