249741 has 6 divisors (see below), whose sum is σ = 360750. Its totient is φ = 166488.

The previous prime is 249737. The next prime is 249749. The reversal of 249741 is 147942.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 189225 + 60516 = 435^2 + 246^2 .

It is not a de Polignac number, because 249741 - 2² = 249737 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249749) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13866 + ... + 13883.

It is an arithmetic number, because the mean of its divisors is an integer number (60125).

2²⁴⁹⁷⁴¹ is an apocalyptic number.

It is an amenable number.

249741 is a deficient number, since it is larger than the sum of its proper divisors (111009).

249741 is a wasteful number, since it uses less digits than its factorization.

249741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27755 (or 27752 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 249741 is about 499.7409328842. The cubic root of 249741 is about 62.9742903410.

It can be divided in two parts, 249 and 741, that added together give a triangular number (990 = T₄₄).

The spelling of 249741 in words is "two hundred forty-nine thousand, seven hundred forty-one".