198747 has 16 divisors (see below), whose sum is σ = 312480. Its totient is φ = 124416.

The previous prime is 198733. The next prime is 198761. The reversal of 198747 is 747891.

It is an interprime number because it is at equal distance from previous prime (198733) and next prime (198761).

It is not a de Polignac number, because 198747 - 2⁸ = 198491 is a prime.

198747 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (198047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2¹⁹⁸⁷⁴⁷ is an apocalyptic number.

198747 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

198747 is a deficient number, since it is larger than the sum of its proper divisors (113733).

198747 is a wasteful number, since it uses less digits than its factorization.

198747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 198747 is about 445.8104978576. The cubic root of 198747 is about 58.3579723579.

It can be divided in two parts, 19874 and 7, that added together give a square (19881 = 141²).

The spelling of 198747 in words is "one hundred ninety-eight thousand, seven hundred forty-seven".