233874 has 32 divisors (see below), whose sum is σ = 535680. Its totient is φ = 75600.

The previous prime is 233861. The next prime is 233879. The reversal of 233874 is 478332.

233874 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×233874⁴ (a number of 23 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3259 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²³³⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

233874 is an abundant number, since it is smaller than the sum of its proper divisors (301806).

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

233874 is a wasteful number, since it uses less digits than its factorization.

233874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 233874 is about 483.6052108900. The cubic root of 233874 is about 61.6113390607.

The spelling of 233874 in words is "two hundred thirty-three thousand, eight hundred seventy-four".