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123553 is a prime number
BaseRepresentation
bin11110001010100001
320021111001
4132022201
512423203
62352001
71023133
oct361241
9207431
10123553
1184911
125b601
1344311
1433053
152691d
hex1e2a1

123553 has 2 divisors, whose sum is σ = 123554. Its totient is φ = 123552.

The previous prime is 123551. The next prime is 123581. The reversal of 123553 is 355321.

It is the 144-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 35344 = 297^2 + 188^2 .

It is an emirp because it is prime and its reverse (355321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123553 - 21 = 123551 is a prime.

Together with 123551, it forms a pair of twin primes.

It is the 352-nd Hogben 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 123553.

It is not a weakly prime, because it can be changed into another prime (123551) by changing a digit.

It is a nontrivial repunit in base 351.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61776 + 61777.

It is an arithmetic number, because the mean of its divisors is an integer number (61777).

2123553 is an apocalyptic number.

It is an amenable number.

123553 is a deficient number, since it is larger than the sum of its proper divisors (1).

123553 is an equidigital number, since it uses as much as digits as its factorization.

123553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 450, while the sum is 19.

The square root of 123553 is about 351.5010668547. The cubic root of 123553 is about 49.8063173762.

Adding to 123553 its reverse (355321), we get a palindrome (478874).

It can be divided in two parts, 123 and 553, that added together give a palindrome (676).

The spelling of 123553 in words is "one hundred twenty-three thousand, five hundred fifty-three".