1083797541 has 54 divisors (see below), whose sum is σ = 1686560850. Its totient is φ = 670582080.

The previous prime is 1083797531. The next prime is 1083797591. The reversal of 1083797541 is 1457973801.

1083797541 is a `hidden beast` number, since 10 + 8 + 3 + 7 + 97 + 541 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42380100 + 1041417441 = 6510^2 + 32271^2 .

It is not a de Polignac number, because 1083797541 - 2¹⁴ = 1083781157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083797521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7273735 + ... + 7273883.

Almost surely, 2^1083797541 is an apocalyptic number.

It is an amenable number.

1083797541 is a deficient number, since it is larger than the sum of its proper divisors (602763309).

1083797541 is a wasteful number, since it uses less digits than its factorization.

1083797541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1083797541 is about 32921.0804956338. The cubic root of 1083797541 is about 1027.1866990164.

The spelling of 1083797541 in words is "one billion, eighty-three million, seven hundred ninety-seven thousand, five hundred forty-one".