4257693 has 24 divisors (see below), whose sum is σ = 6945120. Its totient is φ = 2489760.

The previous prime is 4257679. The next prime is 4257697. The reversal of 4257693 is 3967524.

It is not a de Polignac number, because 4257693 - 2⁴ = 4257677 is a prime.

It is a super-3 number, since 3×4257693³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257697) 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 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 3612.

It is an arithmetic number, because the mean of its divisors is an integer number (289380).

Almost surely, 2^4257693 is an apocalyptic number.

It is an amenable number.

4257693 is a deficient number, since it is larger than the sum of its proper divisors (2687427).

4257693 is a wasteful number, since it uses less digits than its factorization.

4257693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1526 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4257693 is about 2063.4177957942. The cubic root of 4257693 is about 162.0782657942.

It can be divided in two parts, 4257 and 693, that added together give a triangular number (4950 = T₉₉).

The spelling of 4257693 in words is "four million, two hundred fifty-seven thousand, six hundred ninety-three".