198964 has 6 divisors (see below), whose sum is σ = 348194. Its totient is φ = 99480.

The previous prime is 198959. The next prime is 198967. The reversal of 198964 is 469891.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 3600 = 442^2 + 60^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198967) by changing a digit.

198964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24867 + ... + 24874.

2¹⁹⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

198964 is a deficient number, since it is larger than the sum of its proper divisors (149230).

198964 is a wasteful number, since it uses less digits than its factorization.

198964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49745 (or 49743 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 198964 is about 446.0538084133. The cubic root of 198964 is about 58.3792038295.

It can be divided in two parts, 19896 and 4, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 198964 in words is "one hundred ninety-eight thousand, nine hundred sixty-four".