1137105841 has 3 divisors (see below), whose sum is σ = 1137139563. Its totient is φ = 1137072120.

The previous prime is 1137105821. The next prime is 1137105857. The reversal of 1137105841 is 1485017311.

It is a happy number.

The square root of 1137105841 is 33721.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 24216241 + 1112889600 = 4921^2 + 33360^2 .

It is not a de Polignac number, because 1137105841 - 2⁷ = 1137105713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137105821) 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 2 ways as a sum of consecutive naturals, for example, 16861 + ... + 50581.

It is an arithmetic number, because the mean of its divisors is an integer number (379046521).

Almost surely, 2^1137105841 is an apocalyptic number.

1137105841 is the 33721-st square number.

1137105841 is the 16861-st centered octagonal number.

It is an amenable number.

1137105841 is a deficient number, since it is larger than the sum of its proper divisors (33722).

1137105841 is an frugal number, since it uses more digits than its factorization.

1137105841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67442 (or 33721 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The cubic root of 1137105841 is about 1043.7591526275.

The spelling of 1137105841 in words is "one billion, one hundred thirty-seven million, one hundred five thousand, eight hundred forty-one".