199164 has 24 divisors (see below), whose sum is σ = 531328. Its totient is φ = 56880.

The previous prime is 199153. The next prime is 199181. The reversal of 199164 is 461991.

199164 = T₁₀₅ + T₁₀₆ + ... + T₁₃₂.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

199164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 1269.

2¹⁹⁹¹⁶⁴ is an apocalyptic number.

199164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199164 is an abundant number, since it is smaller than the sum of its proper divisors (332164).

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

199164 is a wasteful number, since it uses less digits than its factorization.

199164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2383 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 199164 is about 446.2779403018. The cubic root of 199164 is about 58.3987583398.

It can be divided in two parts, 199 and 164, that added together give a palindrome (363).

The spelling of 199164 in words is "one hundred ninety-nine thousand, one hundred sixty-four".