327249 has 12 divisors (see below), whose sum is σ = 509236. Its totient is φ = 201312.

The previous prime is 327247. The next prime is 327251. The reversal of 327249 is 942723.

327249 = T₁₄₂ + T₁₄₃ + ... + T₁₆₈.

It is an interprime number because it is at equal distance from previous prime (327247) and next prime (327251).

It can be written as a sum of positive squares in 2 ways, for example, as 140625 + 186624 = 375^2 + 432^2 .

It is not a de Polignac number, because 327249 - 2¹ = 327247 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327247) 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 11 ways as a sum of consecutive naturals, for example, 1282 + ... + 1515.

2³²⁷²⁴⁹ is an apocalyptic number.

327249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

327249 is a deficient number, since it is larger than the sum of its proper divisors (181987).

327249 is a wasteful number, since it uses less digits than its factorization.

327249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2813 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 327249 is about 572.0568153602. The cubic root of 327249 is about 68.9116702124.

It can be divided in two parts, 3272 and 49, that added together give a triangular number (3321 = T₈₁).

The spelling of 327249 in words is "three hundred twenty-seven thousand, two hundred forty-nine".