1077349329 has 45 divisors (see below), whose sum is σ = 1875728811. Its totient is φ = 614446560.

The previous prime is 1077349327. The next prime is 1077349363. The reversal of 1077349329 is 9239437701.

The square root of 1077349329 is 32823.

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., 308950929 + 768398400 = 17577^2 + 27720^2 .

It is not a de Polignac number, because 1077349329 - 2¹ = 1077349327 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1077349327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2067589 + ... + 2068109.

Almost surely, 2^1077349329 is an apocalyptic number.

1077349329 is the 32823-rd square number.

1077349329 is the 16412-nd centered octagonal number.

It is an amenable number.

1077349329 is a deficient number, since it is larger than the sum of its proper divisors (798379482).

1077349329 is an frugal number, since it uses more digits than its factorization.

1077349329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The cubic root of 1077349329 is about 1025.1455130317.

The spelling of 1077349329 in words is "one billion, seventy-seven million, three hundred forty-nine thousand, three hundred twenty-nine".