186131449 has 9 divisors (see below), whose sum is σ = 216631407. Its totient is φ = 159459384.

The previous prime is 186131447. The next prime is 186131459. The reversal of 186131449 is 944131681.

The square root of 186131449 is 13643.

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

186131449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149891049 + 36240400 = 12243^2 + 6020^2 .

It is not a de Polignac number, because 186131449 - 2¹ = 186131447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186131441) 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, 94527 + ... + 96475.

Almost surely, 2^186131449 is an apocalyptic number.

186131449 is the 13643-rd square number.

186131449 is the 6822-nd centered octagonal number.

It is an amenable number.

186131449 is a deficient number, since it is larger than the sum of its proper divisors (30499958).

186131449 is an frugal number, since it uses more digits than its factorization.

186131449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 1956 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The cubic root of 186131449 is about 570.9611862919.

Multiplying 186131449 by its product of digits (20736), we get a square (3859621726464 = 1964592²).

The spelling of 186131449 in words is "one hundred eighty-six million, one hundred thirty-one thousand, four hundred forty-nine".