131461 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 103680.

The previous prime is 131449. The next prime is 131477. The reversal of 131461 is 164131.

131461 = 74² + 75² + ... + 92².

It is a 4-Lehmer number, since φ(131461) divides (131461-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 131461 - 2¹³ = 123269 is a prime.

131461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3535 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹³¹⁴⁶¹ is an apocalyptic number.

131461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131461 is a deficient number, since it is larger than the sum of its proper divisors (32699).

131461 is a wasteful number, since it uses less digits than its factorization.

131461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 72, while the sum is 16.

The square root of 131461 is about 362.5755093770. The cubic root of 131461 is about 50.8470362294.

Adding to 131461 its reverse (164131), we get a palindrome (295592).

The spelling of 131461 in words is "one hundred thirty-one thousand, four hundred sixty-one".