233965 has 8 divisors (see below), whose sum is σ = 285048. Its totient is φ = 184320.

The previous prime is 233941. The next prime is 233969. The reversal of 233965 is 569332.

It can be written as a sum of positive squares in 4 ways, for example, as 72361 + 161604 = 269^2 + 402^2 .

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

It is not a de Polignac number, because 233965 - 2⁷ = 233837 is a prime.

It is a Duffinian number.

233965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (35631).

2²³³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

233965 is a deficient number, since it is larger than the sum of its proper divisors (51083).

233965 is an equidigital number, since it uses as much as digits as its factorization.

233965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its digits is 4860, while the sum is 28.

The square root of 233965 is about 483.6992867475. The cubic root of 233965 is about 61.6193289823.

The spelling of 233965 in words is "two hundred thirty-three thousand, nine hundred sixty-five".