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97968 = 24313157
BaseRepresentation
bin10111111010110000
311222101110
4113322300
511113333
62033320
7555423
oct277260
9158343
1097968
1167672
1248840
1335790
14279ba
151e063
hex17eb0

97968 has 40 divisors (see below), whose sum is σ = 274288. Its totient is φ = 29952.

The previous prime is 97967. The next prime is 97973. The reversal of 97968 is 86979.

It is a Cunningham number, because it is equal to 3132-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (97961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 702.

297968 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 97968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137144).

97968 is an abundant number, since it is smaller than the sum of its proper divisors (176320).

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

97968 is a wasteful number, since it uses less digits than its factorization.

97968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 97968 is about 312.9984025518. The cubic root of 97968 is about 46.0993442123.

The spelling of 97968 in words is "ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 471 624 628 942 1256 1884 2041 2512 3768 4082 6123 7536 8164 12246 16328 24492 32656 48984 97968