1141155961 has 27 divisors (see below), whose sum is σ = 1304864463. Its totient is φ = 997215120.

The previous prime is 1141155947. The next prime is 1141156001. The reversal of 1141155961 is 1695511411.

It is a happy number.

The square root of 1141155961 is 33781.

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

It can be written as a sum of positive squares in only one way, i.e., 1021122025 + 120033936 = 31955^2 + 10956^2 .

It is not a de Polignac number, because 1141155961 - 2¹¹ = 1141153913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141155161) 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 26 ways as a sum of consecutive naturals, for example, 13748826 + ... + 13748908.

Almost surely, 2^1141155961 is an apocalyptic number.

1141155961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1141155961 is the 33781-st square number.

1141155961 is the 16891-st centered octagonal number.

It is an amenable number.

1141155961 is a deficient number, since it is larger than the sum of its proper divisors (163708502).

1141155961 is an frugal number, since it uses more digits than its factorization.

1141155961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 5400, while the sum is 34.

The cubic root of 1141155961 is about 1044.9968974977.

The spelling of 1141155961 in words is "one billion, one hundred forty-one million, one hundred fifty-five thousand, nine hundred sixty-one".