197712 has 30 divisors (see below), whose sum is σ = 553722. Its totient is φ = 65856.

The previous prime is 197711. The next prime is 197713. The reversal of 197712 is 217791.

197712 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (197711) and next prime (197713).

It can be written as a sum of positive squares in only one way, i.e., 197136 + 576 = 444^2 + 24^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543 + ... + 830.

2¹⁹⁷⁷¹² is an apocalyptic number.

197712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197712 is an abundant number, since it is smaller than the sum of its proper divisors (356010).

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

197712 is a wasteful number, since it uses less digits than its factorization.

197712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 197712 is about 444.6481755276. The cubic root of 197712 is about 58.2564938391.

It can be divided in two parts, 197 and 712, that added together give a palindrome (909).

The spelling of 197712 in words is "one hundred ninety-seven thousand, seven hundred twelve".