1164005361 has 12 divisors (see below), whose sum is σ = 1683972420. Its totient is φ = 774789120.

The previous prime is 1164005299. The next prime is 1164005377. The reversal of 1164005361 is 1635004611.

1164005361 is a `hidden beast` number, since 11 + 640 + 0 + 5 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 978500961 + 185504400 = 31281^2 + 13620^2 .

It is not a de Polignac number, because 1164005361 - 2²³ = 1155616753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1164005261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95116 + ... + 106653.

It is an arithmetic number, because the mean of its divisors is an integer number (140331035).

Almost surely, 2^1164005361 is an apocalyptic number.

It is an amenable number.

1164005361 is a deficient number, since it is larger than the sum of its proper divisors (519967059).

1164005361 is a wasteful number, since it uses less digits than its factorization.

1164005361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202416 (or 202413 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1164005361 is about 34117.5227852199. The cubic root of 1164005361 is about 1051.9255252521.

Adding to 1164005361 its reverse (1635004611), we get a palindrome (2799009972).

The spelling of 1164005361 in words is "one billion, one hundred sixty-four million, five thousand, three hundred sixty-one".