249953 has 8 divisors (see below), whose sum is σ = 281856. Its totient is φ = 219600.

The previous prime is 249947. The next prime is 249967. The reversal of 249953 is 359942.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 249953 - 2¹⁶ = 184417 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249953.

It is not an unprimeable number, because it can be changed into a prime (249923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (35232).

249953 is a Friedman number, since it can be written as (9*(5+2))^3-94, using all its digits and the basic arithmetic operations.

2²⁴⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

249953 is a deficient number, since it is larger than the sum of its proper divisors (31903).

249953 is a wasteful number, since it uses less digits than its factorization.

249953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its digits is 9720, while the sum is 32.

The square root of 249953 is about 499.9529977908. The cubic root of 249953 is about 62.9921044947.

It can be divided in two parts, 2499 and 53, that added together give a palindrome (2552).

The spelling of 249953 in words is "two hundred forty-nine thousand, nine hundred fifty-three".