257196 has 12 divisors (see below), whose sum is σ = 600152. Its totient is φ = 85728.

The previous prime is 257189. The next prime is 257219. The reversal of 257196 is 691752.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×257196² = 132299564832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10705 + ... + 10728.

257196 is a Friedman number, since it can be written as ((7*5)^(2+1)-9)*6, using all its digits and the basic arithmetic operations.

2²⁵⁷¹⁹⁶ is an apocalyptic number.

It is an amenable number.

257196 is an abundant number, since it is smaller than the sum of its proper divisors (342956).

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

257196 is a wasteful number, since it uses less digits than its factorization.

257196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440 (or 21438 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 257196 is about 507.1449496939. The cubic root of 257196 is about 63.5947703465.

The spelling of 257196 in words is "two hundred fifty-seven thousand, one hundred ninety-six".