131767441 has 9 divisors (see below), whose sum is σ = 142844859. Its totient is φ = 121493736.

The previous prime is 131767439. The next prime is 131767501. The reversal of 131767441 is 144767131.

The square root of 131767441 is 11479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19492225 + 112275216 = 4415^2 + 10596^2 .

It is not a de Polignac number, because 131767441 - 2¹ = 131767439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131767397 and 131767406.

It is not an unprimeable number, because it can be changed into a prime (131767541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148786 + ... + 149668.

It is an arithmetic number, because the mean of its divisors is an integer number (15871651).

Almost surely, 2^131767441 is an apocalyptic number.

131767441 is the 11479-th square number.

131767441 is the 5740-th centered octagonal number.

It is an amenable number.

131767441 is a deficient number, since it is larger than the sum of its proper divisors (11077418).

131767441 is an frugal number, since it uses more digits than its factorization.

131767441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 896 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The cubic root of 131767441 is about 508.8651441470.

The spelling of 131767441 in words is "one hundred thirty-one million, seven hundred sixty-seven thousand, four hundred forty-one".