249001 has 3 divisors (see below), whose sum is σ = 249501. Its totient is φ = 248502.

The previous prime is 248987. The next prime is 249017. The reversal of 249001 is 100942.

249001 = T_{498} + T_{499}.

The square root of 249001 is 499.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 249001 - 2^{15} = 216233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 250 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (83167).

2^{249001} is an apocalyptic number.

249001 is the 499-th square number.

249001 is the 250-th centered octagonal number.

It is an amenable number.

249001 is a deficient number, since it is larger than the sum of its proper divisors (500).

249001 is an frugal number, since it uses more digits than its factorization.

249001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 249001 is about 62.9120297349.

Multiplying 249001 by its sum of digits (16), we get a square (3984016 = 1996^{2}).

Adding to 249001 its reverse (100942), we get a palindrome (349943).

It can be divided in two parts, 24 and 9001, that added together give a square (9025 = 95^{2}).

The spelling of 249001 in words is "two hundred forty-nine thousand, one".

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