233742 has 16 divisors (see below), whose sum is σ = 472320. Its totient is φ = 77112.

The previous prime is 233713. The next prime is 233743. The reversal of 233742 is 247332.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233742.

It is not an unprimeable number, because it can be changed into a prime (233743) by changing a digit.

233742 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 7 ways as a sum of consecutive naturals, for example, 859 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (29520).

2²³³⁷⁴² is an apocalyptic number.

233742 is an abundant number, since it is smaller than the sum of its proper divisors (238578).

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

233742 is a wasteful number, since it uses less digits than its factorization.

233742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 1008, while the sum is 21.

The square root of 233742 is about 483.4687166715. The cubic root of 233742 is about 61.5997455997.

The spelling of 233742 in words is "two hundred thirty-three thousand, seven hundred forty-two".