198972 has 18 divisors (see below), whose sum is σ = 503048. Its totient is φ = 66312.

The previous prime is 198971. The next prime is 198977. The reversal of 198972 is 279891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5527 = 198972 / (1 + 9 + 8 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2728 + ... + 2799.

2¹⁹⁸⁹⁷² is an apocalyptic number.

198972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198972 is an abundant number, since it is smaller than the sum of its proper divisors (304076).

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

198972 is a wasteful number, since it uses less digits than its factorization.

198972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5532 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 198972 is about 446.0627758511. The cubic root of 198972 is about 58.3799862615.

The spelling of 198972 in words is "one hundred ninety-eight thousand, nine hundred seventy-two".