1964928017 has 18 divisors (see below), whose sum is σ = 2255589558. Its totient is φ = 1705022592.

The previous prime is 1964927969. The next prime is 1964928029. The reversal of 1964928017 is 7108294691.

It can be written as a sum of positive squares in 3 ways, for example, as 43771456 + 1921156561 = 6616^2 + 43831^2 .

It is not a de Polignac number, because 1964928017 - 2⁶ = 1964927953 is a prime.

It is a super-2 number, since 2×1964928017² = 7721884223983104578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1964921017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2375558 + ... + 2376384.

It is an arithmetic number, because the mean of its divisors is an integer number (125310531).

Almost surely, 2^1964928017 is an apocalyptic number.

1964928017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1964928017 is a deficient number, since it is larger than the sum of its proper divisors (290661541).

1964928017 is an frugal number, since it uses more digits than its factorization.

1964928017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 1964928017 is about 44327.5085810155. The cubic root of 1964928017 is about 1252.5129217541.

The spelling of 1964928017 in words is "one billion, nine hundred sixty-four million, nine hundred twenty-eight thousand, seventeen".