1164242641 has 9 divisors (see below), whose sum is σ = 1177249521. Its totient is φ = 1151379024.

The previous prime is 1164242627. The next prime is 1164242647. The reversal of 1164242641 is 1462424611.

The square root of 1164242641 is 34121.

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 8242641 + 1156000000 = 2871^2 + 34000^2 .

It is not a de Polignac number, because 1164242641 - 2²⁷ = 1030024913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1164242647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5083915 + ... + 5084143.

Almost surely, 2^1164242641 is an apocalyptic number.

1164242641 is the 34121-st square number.

1164242641 is the 17061-st centered octagonal number.

It is an amenable number.

1164242641 is a deficient number, since it is larger than the sum of its proper divisors (13006880).

1164242641 is an frugal number, since it uses more digits than its factorization.

1164242641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The cubic root of 1164242641 is about 1051.9969979843.

Multiplying 1164242641 by its product of digits (9216), we get a square (10729660179456 = 3275616²).

The spelling of 1164242641 in words is "one billion, one hundred sixty-four million, two hundred forty-two thousand, six hundred forty-one".