123963 has 8 divisors (see below), whose sum is σ = 188928. Its totient is φ = 70824.

The previous prime is 123953. The next prime is 123973. The reversal of 123963 is 369321.

It is an interprime number because it is at equal distance from previous prime (123953) and next prime (123973).

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

It is not a de Polignac number, because 123963 - 2⁵ = 123931 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123923) 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, 2931 + ... + 2972.

It is an arithmetic number, because the mean of its divisors is an integer number (23616).

2¹²³⁹⁶³ is an apocalyptic number.

123963 is a deficient number, since it is larger than the sum of its proper divisors (64965).

123963 is an equidigital number, since it uses as much as digits as its factorization.

123963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913.

The product of its digits is 972, while the sum is 24.

The square root of 123963 is about 352.0837968439. The cubic root of 123963 is about 49.8613492079.

The spelling of 123963 in words is "one hundred twenty-three thousand, nine hundred sixty-three".