123249 has 8 divisors (see below), whose sum is σ = 187840. Its totient is φ = 70416.

The previous prime is 123239. The next prime is 123259. The reversal of 123249 is 942321.

It is an interprime number because it is at equal distance from previous prime (123239) and next prime (123259).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123249 - 2⁵ = 123217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 5869 = 123249 / (1 + 2 + 3 + 2 + 4 + 9).

It is a Duffinian number.

123249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (123209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2914 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (23480).

2¹²³²⁴⁹ is an apocalyptic number.

It is an amenable number.

123249 is a deficient number, since it is larger than the sum of its proper divisors (64591).

123249 is an equidigital number, since it uses as much as digits as its factorization.

123249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879.

The product of its digits is 432, while the sum is 21.

The square root of 123249 is about 351.0683694097. The cubic root of 123249 is about 49.7654346359.

The spelling of 123249 in words is "one hundred twenty-three thousand, two hundred forty-nine".