249764 has 12 divisors (see below), whose sum is σ = 462924. Its totient is φ = 117504.

The previous prime is 249763. The next prime is 249779. The reversal of 249764 is 467942.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 153664 = 310^2 + 392^2 .

It is a d-powerful number, because it can be written as 2¹⁷ + 4 + 7⁶ + 9 + 6 + 4⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 249764.

It is not an unprimeable number, because it can be changed into a prime (249763) 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 3 ways as a sum of consecutive naturals, for example, 1769 + ... + 1904.

It is an arithmetic number, because the mean of its divisors is an integer number (38577).

2²⁴⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

249764 is a deficient number, since it is larger than the sum of its proper divisors (213160).

249764 is a wasteful number, since it uses less digits than its factorization.

249764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 249764 is about 499.7639442777. The cubic root of 249764 is about 62.9762234961.

The spelling of 249764 in words is "two hundred forty-nine thousand, seven hundred sixty-four".