1091046961 has 27 divisors (see below), whose sum is σ = 1218528129. Its totient is φ = 976660608.

The previous prime is 1091046947. The next prime is 1091046991. The reversal of 1091046961 is 1696401901.

The square root of 1091046961 is 33031.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107848225 + 983198736 = 10385^2 + 31356^2 .

It is not a de Polignac number, because 1091046961 - 2⁷ = 1091046833 is a prime.

It is a super-2 number, since 2×1091046961² = 2380766942214671042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1091046961.

It is not an unprimeable number, because it can be changed into a prime (1091046991) 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, 16284250 + ... + 16284316.

Almost surely, 2^1091046961 is an apocalyptic number.

1091046961 is the 33031-st square number.

1091046961 is the 16516-th centered octagonal number.

It is an amenable number.

1091046961 is a deficient number, since it is larger than the sum of its proper divisors (127481168).

1091046961 is an frugal number, since it uses more digits than its factorization.

1091046961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The cubic root of 1091046961 is about 1029.4718632792.

Multiplying 1091046961 by its product of nonzero digits (11664), we get a square (12725971753104 = 3567348²).

The spelling of 1091046961 in words is "one billion, ninety-one million, forty-six thousand, nine hundred sixty-one".