257262 has 16 divisors (see below), whose sum is σ = 524880. Its totient is φ = 84032.

The previous prime is 257249. The next prime is 257263. The reversal of 257262 is 262752.

It is a d-powerful number, because it can be written as 2⁷ + 5 + 2¹³ + 7⁶ + 6³ + 2¹⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257262.

It is not an unprimeable number, because it can be changed into a prime (257263) by changing a digit.

257262 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2²⁵⁷²⁶² is an apocalyptic number.

257262 is an abundant number, since it is smaller than the sum of its proper divisors (267618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257262 is a wasteful number, since it uses less digits than its factorization.

257262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its digits is 1680, while the sum is 24.

The square root of 257262 is about 507.2100156740. The cubic root of 257262 is about 63.6002096429.

The spelling of 257262 in words is "two hundred fifty-seven thousand, two hundred sixty-two".