249501 has 12 divisors (see below), whose sum is σ = 383712. Its totient is φ = 141264.

The previous prime is 249499. The next prime is 249503. The reversal of 249501 is 105942.

It is an interprime number because it is at equal distance from previous prime (249499) and next prime (249503).

It is not a de Polignac number, because 249501 - 2¹ = 249499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 500-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249503) by changing a digit.

It is a nontrivial repunit in base 499.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2235 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (31976).

2²⁴⁹⁵⁰¹ is an apocalyptic number.

249501 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249501 is a deficient number, since it is larger than the sum of its proper divisors (134211).

249501 is an equidigital number, since it uses as much as digits as its factorization.

249501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 249501 is about 499.5007507502. The cubic root of 249501 is about 62.9541112038.

Multiplying 249501 by its sum of digits (21), we get a square (5239521 = 2289²).

249501 divided by its sum of digits (21) gives a square (11881 = 109²).

The spelling of 249501 in words is "two hundred forty-nine thousand, five hundred one".