131882573 has 8 divisors (see below), whose sum is σ = 133134456. Its totient is φ = 130636800.

The previous prime is 131882567. The next prime is 131882581. The reversal of 131882573 is 375288131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4937284 + 126945289 = 2222^2 + 11267^2 .

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 131882573 - 2⁴ = 131882557 is a prime.

It is a super-2 number, since 2×131882573² = 34786026122200658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131882503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49565 + ... + 52157.

It is an arithmetic number, because the mean of its divisors is an integer number (16641807).

Almost surely, 2^131882573 is an apocalyptic number.

It is an amenable number.

131882573 is a deficient number, since it is larger than the sum of its proper divisors (1251883).

131882573 is a wasteful number, since it uses less digits than its factorization.

131882573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055.

The product of its digits is 40320, while the sum is 38.

The square root of 131882573 is about 11484.0138018029. The cubic root of 131882573 is about 509.0133082312.

The spelling of 131882573 in words is "one hundred thirty-one million, eight hundred eighty-two thousand, five hundred seventy-three".