199971000 has 192 divisors, whose sum is σ = 716208480. Its totient is φ = 50150400.

The previous prime is 199970999. The next prime is 199971077. The reversal of 199971000 is 179991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152347 + ... + 153653.

Almost surely, 2^199971000 is an apocalyptic number.

199971000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358104240).

199971000 is an abundant number, since it is smaller than the sum of its proper divisors (516237480).

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

199971000 is a wasteful number, since it uses less digits than its factorization.

199971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 199971000 is about 14141.1102817282. The cubic root of 199971000 is about 584.7752807715.

The spelling of 199971000 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand".