199517955 has 128 divisors (see below), whose sum is σ = 424704000. Its totient is φ = 79252992.

The previous prime is 199517947. The next prime is 199517963. The reversal of 199517955 is 559715991.

199517955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199517947) and next prime (199517963).

It is not a de Polignac number, because 199517955 - 2³ = 199517947 is a prime.

199517955 is a modest number, since divided by 17955 gives 1995 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 199517898 and 199517907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1270737 + ... + 1270893.

It is an arithmetic number, because the mean of its divisors is an integer number (3318000).

Almost surely, 2^199517955 is an apocalyptic number.

199517955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199517955 is an abundant number, since it is smaller than the sum of its proper divisors (225186045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199517955 is a wasteful number, since it uses less digits than its factorization.

199517955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 637875, while the sum is 51.

The square root of 199517955 is about 14125.0824776353. The cubic root of 199517955 is about 584.3333336226. Note that the first 6 decimals are identical.

It can be divided in two parts, 1995 and 17955, that multiplied together give a square (35820225 = 5985²).

The spelling of 199517955 in words is "one hundred ninety-nine million, five hundred seventeen thousand, nine hundred fifty-five".