4257 has 12 divisors (see below), whose sum is σ = 6864. Its totient is φ = 2520.

The previous prime is 4253. The next prime is 4259. The reversal of 4257 is 7524.

Added to its reverse (7524) it gives a triangular number (11781 = T₁₅₃).

It is a happy number.

4257 is nontrivially palindromic in base 2 and base 6.

It is not a de Polignac number, because 4257 - 2² = 4253 is a prime.

4257 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 120.

It is an arithmetic number, because the mean of its divisors is an integer number (572).

4257 is the 33-rd decagonal number.

It is an amenable number.

4257 is a deficient number, since it is larger than the sum of its proper divisors (2607).

4257 is a wasteful number, since it uses less digits than its factorization.

4257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4257 is about 65.2456895128. The cubic root of 4257 is about 16.2069471804.

Adding to 4257 its reverse (7524), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 42 and 57, that added together give a palindrome (99).

The spelling of 4257 in words is "four thousand, two hundred fifty-seven".