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97768 = 23112101
BaseRepresentation
bin10111110111101000
311222010001
4113313220
511112033
62032344
7555016
oct276750
9158101
1097768
1167500
12486b4
1335668
14278b6
151de7d
hex17de8

97768 has 24 divisors (see below), whose sum is σ = 203490. Its totient is φ = 44000.

The previous prime is 97729. The next prime is 97771. The reversal of 97768 is 86779.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 39204 = 242^2 + 198^2 .

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 918 + ... + 1018.

297768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101745).

97768 is an abundant number, since it is smaller than the sum of its proper divisors (105722).

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

97768 is a wasteful number, since it uses less digits than its factorization.

97768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 97768 is about 312.6787488781. The cubic root of 97768 is about 46.0679524993.

It can be divided in two parts, 9 and 7768, that added together give a palindrome (7777).

The spelling of 97768 in words is "ninety-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 24442 48884 97768