123893505 has 12 divisors (see below), whose sum is σ = 214748820. Its totient is φ = 66076512.

The previous prime is 123893461. The next prime is 123893507. The reversal of 123893505 is 505398321.

It can be written as a sum of positive squares in 2 ways, for example, as 95121009 + 28772496 = 9753^2 + 5364^2 .

It is not a de Polignac number, because 123893505 - 2¹⁴ = 123877121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123893505.

It is not an unprimeable number, because it can be changed into a prime (123893507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1376550 + ... + 1376639.

It is an arithmetic number, because the mean of its divisors is an integer number (17895735).

Almost surely, 2^123893505 is an apocalyptic number.

123893505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123893505 is a deficient number, since it is larger than the sum of its proper divisors (90855315).

123893505 is a wasteful number, since it uses less digits than its factorization.

123893505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753200 (or 2753197 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 123893505 is about 11130.7459318772. The cubic root of 123893505 is about 498.5202986208.

The spelling of 123893505 in words is "one hundred twenty-three million, eight hundred ninety-three thousand, five hundred five".