123354 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 31680.

The previous prime is 123341. The next prime is 123373. The reversal of 123354 is 453321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

123354 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

123354 is a Friedman number, since it can be written as 534*231, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 231 ⋅ 534 (with its own digits).

2¹²³³⁵⁴ is an apocalyptic number.

123354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

123354 is an abundant number, since it is smaller than the sum of its proper divisors (213606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123354 is a wasteful number, since it uses less digits than its factorization.

123354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

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

The square root of 123354 is about 351.2178810938. The cubic root of 123354 is about 49.7795629113.

Adding to 123354 its reverse (453321), we get a palindrome (576675).

The spelling of 123354 in words is "one hundred twenty-three thousand, three hundred fifty-four".