Search a number
-
+
97704 = 23322359
BaseRepresentation
bin10111110110101000
311222000200
4113312220
511111304
62032200
7554565
oct276650
9158020
1097704
1167452
1248660
1335619
142786c
151de39
hex17da8

97704 has 48 divisors (see below), whose sum is σ = 280800. Its totient is φ = 30624.

The previous prime is 97687. The next prime is 97711. The reversal of 97704 is 40779.

It is an unprimeable number.

97704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

297704 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 97704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

97704 is an abundant number, since it is smaller than the sum of its proper divisors (183096).

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

97704 is a wasteful number, since it uses less digits than its factorization.

97704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97704 is about 312.5763906631. The cubic root of 97704 is about 46.0578981102.

The spelling of 97704 in words is "ninety-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 59 69 72 92 118 138 177 184 207 236 276 354 414 472 531 552 708 828 1062 1357 1416 1656 2124 2714 4071 4248 5428 8142 10856 12213 16284 24426 32568 48852 97704