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123973 is a prime number
BaseRepresentation
bin11110010001000101
320022001121
4132101011
512431343
62353541
71024303
oct362105
9208047
10123973
1185163
125b8b1
1344575
1433273
1526aed
hex1e445

123973 has 2 divisors, whose sum is σ = 123974. Its totient is φ = 123972.

The previous prime is 123953. The next prime is 123979. The reversal of 123973 is 379321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113569 + 10404 = 337^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 123973 - 25 = 123941 is a prime.

123973 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61986 + 61987.

It is an arithmetic number, because the mean of its divisors is an integer number (61987).

2123973 is an apocalyptic number.

It is an amenable number.

123973 is a deficient number, since it is larger than the sum of its proper divisors (1).

123973 is an equidigital number, since it uses as much as digits as its factorization.

123973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 25.

The square root of 123973 is about 352.0979977222. The cubic root of 123973 is about 49.8626899307.

The spelling of 123973 in words is "one hundred twenty-three thousand, nine hundred seventy-three".