233802 has 24 divisors (see below), whose sum is σ = 524160. Its totient is φ = 75240.

The previous prime is 233777. The next prime is 233837. The reversal of 233802 is 208332.

233802 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2²³³⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

233802 is an abundant number, since it is smaller than the sum of its proper divisors (290358).

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

233802 is a wasteful number, since it uses less digits than its factorization.

233802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233802 is about 483.5307642746. The cubic root of 233802 is about 61.6050158956.

It can be divided in two parts, 233 and 802, that added together give a triangular number (1035 = T₄₅).

The spelling of 233802 in words is "two hundred thirty-three thousand, eight hundred two".