193988 has 6 divisors (see below), whose sum is σ = 339486. Its totient is φ = 96992.

The previous prime is 193979. The next prime is 193993. The reversal of 193988 is 889391.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 58564 = 368^2 + 242^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 193988.

It is an unprimeable number.

193988 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 as a sum of consecutive naturals, namely, 24245 + ... + 24252.

It is an arithmetic number, because the mean of its divisors is an integer number (56581).

2¹⁹³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

193988 is a deficient number, since it is larger than the sum of its proper divisors (145498).

193988 is a wasteful number, since it uses less digits than its factorization.

193988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48501 (or 48499 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 193988 is about 440.4406884020. The cubic root of 193988 is about 57.8884100959. Note that the first 3 decimals are identical.

The spelling of 193988 in words is "one hundred ninety-three thousand, nine hundred eighty-eight".