1064782161 has 27 divisors (see below), whose sum is σ = 1569911889. Its totient is φ = 695431872.

The previous prime is 1064782127. The next prime is 1064782181. The reversal of 1064782161 is 1612874601.

It is a happy number.

The square root of 1064782161 is 32631.

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

1064782161 is a `hidden beast` number, since 1 + 0 + 647 + 8 + 2 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137945025 + 926837136 = 11745^2 + 30444^2 .

It is not a de Polignac number, because 1064782161 - 2²³ = 1056393553 is a prime.

It is a super-2 number, since 2×1064782161² = 2267522100767659842, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1064782181) 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, 7146115 + ... + 7146263.

Almost surely, 2^1064782161 is an apocalyptic number.

1064782161 is the 32631-st square number.

1064782161 is the 16316-th centered octagonal number.

It is an amenable number.

1064782161 is a deficient number, since it is larger than the sum of its proper divisors (505129728).

1064782161 is an frugal number, since it uses more digits than its factorization.

1064782161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 1064782161 is about 1021.1438407939.

Multiplying 1064782161 by its sum of digits (36), we get a square (38332157796 = 195786²).

It can be divided in two parts, 1064 and 782161, that added together give a square (783225 = 885²).

The spelling of 1064782161 in words is "one billion, sixty-four million, seven hundred eighty-two thousand, one hundred sixty-one".