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97314 = 2372331
BaseRepresentation
bin10111110000100010
311221111020
4113300202
511103224
62030310
7553500
oct276042
9157436
1097314
1167128
1248396
13353a9
1427670
151dc79
hex17c22

97314 has 24 divisors (see below), whose sum is σ = 227088. Its totient is φ = 27720.

The previous prime is 97303. The next prime is 97327. The reversal of 97314 is 41379.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97314.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (9462).

297314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113544).

97314 is an abundant number, since it is smaller than the sum of its proper divisors (129774).

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

97314 is a wasteful number, since it uses less digits than its factorization.

97314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 97314 is about 311.9519193722. The cubic root of 97314 is about 45.9965340804.

The spelling of 97314 in words is "ninety-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 331 662 993 1986 2317 4634 6951 13902 16219 32438 48657 97314