197892 has 36 divisors (see below), whose sum is σ = 524160. Its totient is φ = 62832.

The previous prime is 197891. The next prime is 197893. The reversal of 197892 is 298791.

It is a happy number.

197892 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (197891) and next prime (197893).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×197892^{2} = 78322487328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (197891) 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 11 ways as a sum of consecutive naturals, for example, 709 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2^{197892} is an apocalyptic number.

197892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

197892 is an abundant number, since it is smaller than the sum of its proper divisors (326268).

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

197892 is a wasteful number, since it uses less digits than its factorization.

197892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

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

The square root of 197892 is about 444.8505366974. The cubic root of 197892 is about 58.2741676748.

It can be divided in two parts, 19789 and 2, that added together give a palindrome (19791).

The spelling of 197892 in words is "one hundred ninety-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 239 276 414 478 717 828 956 1434 2151 2868 4302 5497 8604 10994 16491 21988 32982 49473 65964 98946 197892

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