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97656 = 23313313
BaseRepresentation
bin10111110101111000
311221221220
4113311320
511111111
62032040
7554466
oct276570
9157856
1097656
1167409
1248620
13355b0
1427836
151de06
hex17d78

97656 has 32 divisors (see below), whose sum is σ = 263760. Its totient is φ = 29952.

The previous prime is 97651. The next prime is 97673. The reversal of 97656 is 65679.

97656 is nontrivially palindromic in base 5.

97656 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97651) by changing a digit.

It is a nontrivial repunit in base 5.

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 7 ways as a sum of consecutive naturals, for example, 156 + ... + 468.

297656 is an apocalyptic number.

It is a pronic number, being equal to 312×313.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131880).

97656 is an abundant number, since it is smaller than the sum of its proper divisors (166104).

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

97656 is a wasteful number, since it uses less digits than its factorization.

97656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 97656 is about 312.4995999997. The cubic root of 97656 is about 46.0503544366.

The spelling of 97656 in words is "ninety-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 313 626 939 1252 1878 2504 3756 4069 7512 8138 12207 16276 24414 32552 48828 97656