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23053 is a prime number
BaseRepresentation
bin101101000001101
31011121211
411220031
51214203
6254421
7124132
oct55015
934554
1023053
1116358
1211411
13a654
148589
156c6d
hex5a0d

23053 has 2 divisors, whose sum is σ = 23054. Its totient is φ = 23052.

The previous prime is 23041. The next prime is 23057. The reversal of 23053 is 35032.

23053 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 1444 = 147^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 23053 - 25 = 23021 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 35 + 0 + 55 + 39 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23057) 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 as a sum of consecutive naturals, namely, 11526 + 11527.

It is an arithmetic number, because the mean of its divisors is an integer number (11527).

223053 is an apocalyptic number.

It is an amenable number.

23053 is a deficient number, since it is larger than the sum of its proper divisors (1).

23053 is an equidigital number, since it uses as much as digits as its factorization.

23053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 23053 is about 151.8321441593. The cubic root of 23053 is about 28.4604972367.

Adding to 23053 its reverse (35032), we get a palindrome (58085).

The spelling of 23053 in words is "twenty-three thousand, fifty-three".