249654 has 8 divisors (see below), whose sum is σ = 499320. Its totient is φ = 83216.

The previous prime is 249647. The next prime is 249659. The reversal of 249654 is 456942.

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

249654 is an admirable number.

It is a d-powerful number, because it can be written as 2⁵ + 4⁴ + 6⁶ + 9⁵ + 5⁷ + 4⁸ .

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249654.

It is not an unprimeable number, because it can be changed into a prime (249659) by changing a digit.

249654 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20799 + ... + 20810.

It is an arithmetic number, because the mean of its divisors is an integer number (62415).

2²⁴⁹⁶⁵⁴ is an apocalyptic number.

249654 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249654 is a wasteful number, since it uses less digits than its factorization.

249654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41614.

The product of its digits is 8640, while the sum is 30.

The square root of 249654 is about 499.6538802011. The cubic root of 249654 is about 62.9669768982.

It can be divided in two parts, 249 and 654, that added together give a triangular number (903 = T₄₂).

The spelling of 249654 in words is "two hundred forty-nine thousand, six hundred fifty-four".