131257 has 8 divisors (see below), whose sum is σ = 158976. Its totient is φ = 105792.

The previous prime is 131251. The next prime is 131267. The reversal of 131257 is 752131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131257 - 2³ = 131249 is a prime.

It is a d-powerful number, because it can be written as 1 + 3² + 2¹⁷ + 1 + 5³ + 7² .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131251) 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, 433 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (19872).

2¹³¹²⁵⁷ is an apocalyptic number.

131257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131257 is a deficient number, since it is larger than the sum of its proper divisors (27719).

131257 is a wasteful number, since it uses less digits than its factorization.

131257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its digits is 210, while the sum is 19.

The square root of 131257 is about 362.2940794438. The cubic root of 131257 is about 50.8207212881.

Adding to 131257 its reverse (752131), we get a palindrome (883388).

It can be divided in two parts, 1312 and 57, that added together give a square (1369 = 37²).

The spelling of 131257 in words is "one hundred thirty-one thousand, two hundred fifty-seven".