1077743241 has 27 divisors (see below), whose sum is σ = 1613147367. Its totient is φ = 693348480.

The previous prime is 1077743207. The next prime is 1077743267. The reversal of 1077743241 is 1423477701.

The square root of 1077743241 is 32829.

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., 437855625 + 639887616 = 20925^2 + 25296^2 .

It is not a de Polignac number, because 1077743241 - 2⁷ = 1077743113 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1077743196 and 1077743205.

It is not an unprimeable number, because it can be changed into a prime (1077743291) 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, 3052921 + ... + 3053273.

Almost surely, 2^1077743241 is an apocalyptic number.

1077743241 is the 32829-th square number.

1077743241 is the 16415-th centered octagonal number.

It is an amenable number.

1077743241 is a deficient number, since it is larger than the sum of its proper divisors (535404126).

1077743241 is an frugal number, since it uses more digits than its factorization.

1077743241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The cubic root of 1077743241 is about 1025.2704393679.

Multiplying 1077743241 by its sum of digits (36), we get a square (38798756676 = 196974²).

The spelling of 1077743241 in words is "one billion, seventy-seven million, seven hundred forty-three thousand, two hundred forty-one".