249201 has 6 divisors (see below), whose sum is σ = 359970. Its totient is φ = 166128.

The previous prime is 249199. The next prime is 249211. The reversal of 249201 is 102942.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 90000 = 399^2 + 300^2 .

It is not a de Polignac number, because 249201 - 2¹ = 249199 is a prime.

It is a super-2 number, since 2×249201² = 124202276802, which contains 22 as substring.

It is a Curzon number.

249201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (249211) 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 5 ways as a sum of consecutive naturals, for example, 13836 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (59995).

2²⁴⁹²⁰¹ is an apocalyptic number.

It is an amenable number.

249201 is a deficient number, since it is larger than the sum of its proper divisors (110769).

249201 is a wasteful number, since it uses less digits than its factorization.

249201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27695 (or 27692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 249201 is about 499.2003605768. The cubic root of 249201 is about 62.9288690765.

The spelling of 249201 in words is "two hundred forty-nine thousand, two hundred one".