1084319041 has 27 divisors (see below), whose sum is σ = 1255701531. Its totient is φ = 935710464.

The previous prime is 1084319021. The next prime is 1084319057. The reversal of 1084319041 is 1409134801.

The square root of 1084319041 is 32929.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1015760641 + 68558400 = 31871^2 + 8280^2 .

It is not a de Polignac number, because 1084319041 - 2¹³ = 1084310849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1084318994 and 1084319012.

It is not an unprimeable number, because it can be changed into a prime (1084319011) 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, 7277235 + ... + 7277383.

Almost surely, 2^1084319041 is an apocalyptic number.

1084319041 is the 32929-th square number.

1084319041 is the 16465-th centered octagonal number.

It is an amenable number.

1084319041 is a deficient number, since it is larger than the sum of its proper divisors (171382490).

1084319041 is an equidigital number, since it uses as much as digits as its factorization.

1084319041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1084319041 is about 1027.3514259595.

The spelling of 1084319041 in words is "one billion, eighty-four million, three hundred nineteen thousand, forty-one".