383415561 has 27 divisors (see below), whose sum is σ = 568361703. Its totient is φ = 249070320.

The previous prime is 383415553. The next prime is 383415577. The reversal of 383415561 is 165514383.

The square root of 383415561 is 19581.

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

383415561 is a `hidden beast` number, since 3 + 83 + 4 + 15 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12467961 + 370947600 = 3531^2 + 19260^2 .

It is not a de Polignac number, because 383415561 - 2³ = 383415553 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (383415541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3583270 + ... + 3583376.

Almost surely, 2^383415561 is an apocalyptic number.

383415561 is the 19581-st square number.

383415561 is the 9791-st centered octagonal number.

It is an amenable number.

383415561 is a deficient number, since it is larger than the sum of its proper divisors (184946142).

383415561 is an equidigital number, since it uses as much as digits as its factorization.

383415561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 383415561 is about 726.4793012384.

Multiplying 383415561 by its sum of digits (36), we get a square (13802960196 = 117486²).

The spelling of 383415561 in words is "three hundred eighty-three million, four hundred fifteen thousand, five hundred sixty-one".