249893 has 8 divisors (see below), whose sum is σ = 295680. Its totient is φ = 206640.

The previous prime is 249881. The next prime is 249911. The reversal of 249893 is 398942.

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

It is not a de Polignac number, because 249893 - 2¹⁰ = 248869 is a prime.

It is a super-2 number, since 2×249893² = 124893022898, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁷ + 4⁸ + 8³ + 9 + 9⁴ + 3¹¹ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249833) 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, 413 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2²⁴⁹⁸⁹³ is an apocalyptic number.

It is an amenable number.

249893 is a deficient number, since it is larger than the sum of its proper divisors (45787).

249893 is a wasteful number, since it uses less digits than its factorization.

249893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267.

The product of its digits is 15552, while the sum is 35.

The square root of 249893 is about 499.8929885485. The cubic root of 249893 is about 62.9870637754.

The spelling of 249893 in words is "two hundred forty-nine thousand, eight hundred ninety-three".