66257 has 4 divisors (see below), whose sum is σ = 67440. Its totient is φ = 65076.

The previous prime is 66239. The next prime is 66271. The reversal of 66257 is 75266.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75266 = 2 ⋅37633.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66257 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66257.

It is not an unprimeable number, because it can be changed into a prime (66457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (16860).

2⁶⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

66257 is a deficient number, since it is larger than the sum of its proper divisors (1183).

66257 is a wasteful number, since it uses less digits than its factorization.

66257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182.

The product of its digits is 2520, while the sum is 26.

The square root of 66257 is about 257.4043511676. The cubic root of 66257 is about 40.4647867473.

Subtracting 66257 from its reverse (75266), we obtain a palindrome (9009).

It can be divided in two parts, 66 and 257, that added together give a palindrome (323).

The spelling of 66257 in words is "sixty-six thousand, two hundred fifty-seven".