1661164305 has 32 divisors (see below), whose sum is σ = 2779398144. Its totient is φ = 845608896.

The previous prime is 1661164277. The next prime is 1661164313. The reversal of 1661164305 is 5034611661.

It is not a de Polignac number, because 1661164305 - 2⁵ = 1661164273 is a prime.

It is a super-2 number, since 2×1661164305² = 5518933696412266050, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 163072 + ... + 172958.

It is an arithmetic number, because the mean of its divisors is an integer number (86856192).

Almost surely, 2^1661164305 is an apocalyptic number.

1661164305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1661164305 is a deficient number, since it is larger than the sum of its proper divisors (1118233839).

1661164305 is a wasteful number, since it uses less digits than its factorization.

1661164305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10405.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1661164305 is about 40757.3834415312. The cubic root of 1661164305 is about 1184.3249087867.

Adding to 1661164305 its reverse (5034611661), we get a palindrome (6695775966).

The spelling of 1661164305 in words is "one billion, six hundred sixty-one million, one hundred sixty-four thousand, three hundred five".