257106 has 16 divisors (see below), whose sum is σ = 522144. Its totient is φ = 84384.

The previous prime is 257099. The next prime is 257107. The reversal of 257106 is 601752.

It is a super-2 number, since 2×257106² = 132206990472, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (257107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2²⁵⁷¹⁰⁶ is an apocalyptic number.

257106 is an abundant number, since it is smaller than the sum of its proper divisors (265038).

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

257106 is a wasteful number, since it uses less digits than its factorization.

257106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 257106 is about 507.0562099018. The cubic root of 257106 is about 63.5873516242.

Subtracting from 257106 its product of nonzero digits (420), we obtain a triangular number (256686 = T₇₁₆).

Adding to 257106 its reverse (601752), we get a palindrome (858858).

It can be divided in two parts, 257 and 106, that added together give a palindrome (363).

The spelling of 257106 in words is "two hundred fifty-seven thousand, one hundred six".