131577 has 8 divisors (see below), whose sum is σ = 178560. Its totient is φ = 86160.

The previous prime is 131561. The next prime is 131581. The reversal of 131577 is 775131.

131577 is nontrivially palindromic in base 13.

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

It is not a de Polignac number, because 131577 - 2⁴ = 131561 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507) 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, 177 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2¹³¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

131577 is a deficient number, since it is larger than the sum of its proper divisors (46983).

131577 is an equidigital number, since it uses as much as digits as its factorization.

131577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its digits is 735, while the sum is 24.

The square root of 131577 is about 362.7354407829. The cubic root of 131577 is about 50.8619874879.

The spelling of 131577 in words is "one hundred thirty-one thousand, five hundred seventy-seven".