123345 has 12 divisors (see below), whose sum is σ = 213876. Its totient is φ = 65760.

The previous prime is 123341. The next prime is 123373. The reversal of 123345 is 543321.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 82944 = 201^2 + 288^2 .

It is not a de Polignac number, because 123345 - 2² = 123341 is a prime.

123345 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (123341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (17823).

2¹²³³⁴⁵ is an apocalyptic number.

123345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123345 is a deficient number, since it is larger than the sum of its proper divisors (90531).

123345 is a wasteful number, since it uses less digits than its factorization.

123345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2749 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 123345 is about 351.2050683006. The cubic root of 123345 is about 49.7783522305.

Adding to 123345 its reverse (543321), we get a palindrome (666666).

The spelling of 123345 in words is "one hundred twenty-three thousand, three hundred forty-five".