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23361 = 313599
BaseRepresentation
bin101101101000001
31012001020
411231001
51221421
6300053
7125052
oct55501
935036
1023361
1116608
1211629
13a830
148729
156dc6
hex5b41

23361 has 8 divisors (see below), whose sum is σ = 33600. Its totient is φ = 14352.

The previous prime is 23357. The next prime is 23369. The reversal of 23361 is 16332.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 23361 - 22 = 23357 is a prime.

It is a Curzon number.

23361 is a lucky number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 23361.

It is not an unprimeable number, because it can be changed into a prime (23369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

223361 is an apocalyptic number.

It is an amenable number.

23361 is a deficient number, since it is larger than the sum of its proper divisors (10239).

23361 is a wasteful number, since it uses less digits than its factorization.

23361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its digits is 108, while the sum is 15.

The square root of 23361 is about 152.8430567608. The cubic root of 23361 is about 28.5866858987.

Adding to 23361 its reverse (16332), we get a palindrome (39693).

The spelling of 23361 in words is "twenty-three thousand, three hundred sixty-one".

Divisors: 1 3 13 39 599 1797 7787 23361