198472 has 8 divisors (see below), whose sum is σ = 372150. Its totient is φ = 99232.

The previous prime is 198469. The next prime is 198479. The reversal of 198472 is 274891.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 64516 = 366^2 + 254^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×198472² = 78782269568, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (198479) by changing a digit.

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, 12397 + ... + 12412.

198472 is a Friedman number, since it can be written as (891^2+7)/4, using all its digits and the basic arithmetic operations.

2¹⁹⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

198472 is a deficient number, since it is larger than the sum of its proper divisors (173678).

198472 is a wasteful number, since it uses less digits than its factorization.

198472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24815 (or 24811 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 198472 is about 445.5019640810. The cubic root of 198472 is about 58.3310439011.

The spelling of 198472 in words is "one hundred ninety-eight thousand, four hundred seventy-two".