232765 has 8 divisors (see below), whose sum is σ = 300888. Its totient is φ = 171840.

The previous prime is 232753. The next prime is 232777. The reversal of 232765 is 567232.

It is an interprime number because it is at equal distance from previous prime (232753) and next prime (232777).

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 205209 = 166^2 + 453^2 .

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

It is not a de Polignac number, because 232765 - 2¹⁷ = 101693 is a prime.

It is a super-3 number, since 3×232765³ = 37833305532891375, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

232765 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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, 1726 + ... + 1855.

It is an arithmetic number, because the mean of its divisors is an integer number (37611).

2²³²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

232765 is a deficient number, since it is larger than the sum of its proper divisors (68123).

232765 is a wasteful number, since it uses less digits than its factorization.

232765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599.

The product of its digits is 2520, while the sum is 25.

The square root of 232765 is about 482.4572519923. The cubic root of 232765 is about 61.5138004150.

Adding to 232765 its reverse (567232), we get a palindrome (799997).

The spelling of 232765 in words is "two hundred thirty-two thousand, seven hundred sixty-five".