199752705 has 12 divisors (see below), whose sum is σ = 346238100. Its totient is φ = 106534752.

The previous prime is 199752691. The next prime is 199752727. The reversal of 199752705 is 507257991.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 75742209 = 11136^2 + 8703^2 .

It is not a de Polignac number, because 199752705 - 2²¹ = 197655553 is a prime.

It is a super-3 number, since 3×199752705³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4438949 = 199752705 / (1 + 9 + 9 + 7 + 5 + 2 + 7 + 0 + 5).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2219430 + ... + 2219519.

It is an arithmetic number, because the mean of its divisors is an integer number (28853175).

Almost surely, 2^199752705 is an apocalyptic number.

199752705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199752705 is a deficient number, since it is larger than the sum of its proper divisors (146485395).

199752705 is a wasteful number, since it uses less digits than its factorization.

199752705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438960 (or 4438957 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 199752705 is about 14133.3897207995. The cubic root of 199752705 is about 584.5624165755.

The spelling of 199752705 in words is "one hundred ninety-nine million, seven hundred fifty-two thousand, seven hundred five".