233649 has 12 divisors (see below), whose sum is σ = 363636. Its totient is φ = 143712.

The previous prime is 233641. The next prime is 233663. The reversal of 233649 is 946332.

233649 = 82² + 83² + ... + 107².

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 216225 = 132^2 + 465^2 .

It is not a de Polignac number, because 233649 - 2³ = 233641 is a prime.

233649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (233641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (30303).

2²³³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

233649 is a deficient number, since it is larger than the sum of its proper divisors (129987).

233649 is a wasteful number, since it uses less digits than its factorization.

233649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2013 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 233649 is about 483.3725271465. The cubic root of 233649 is about 61.5915748583.

It can be divided in two parts, 23364 and 9, that multiplied together give a triangular number (210276 = T₆₄₈).

The spelling of 233649 in words is "two hundred thirty-three thousand, six hundred forty-nine".