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23801 is a prime number
BaseRepresentation
bin101110011111001
31012122112
411303321
51230201
6302105
7126251
oct56371
935575
1023801
1116978
1211935
13aaab
148961
1570bb
hex5cf9

23801 has 2 divisors, whose sum is σ = 23802. Its totient is φ = 23800.

The previous prime is 23789. The next prime is 23813. The reversal of 23801 is 10832.

It is a balanced prime because it is at equal distance from previous prime (23789) and next prime (23813).

It can be written as a sum of positive squares in only one way, i.e., 22201 + 1600 = 149^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 23801 - 210 = 22777 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (23831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11900 + 11901.

It is an arithmetic number, because the mean of its divisors is an integer number (11901).

223801 is an apocalyptic number.

It is an amenable number.

23801 is a deficient number, since it is larger than the sum of its proper divisors (1).

23801 is an equidigital number, since it uses as much as digits as its factorization.

23801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 23801 is about 154.2757271900. The cubic root of 23801 is about 28.7650456850.

The spelling of 23801 in words is "twenty-three thousand, eight hundred one".