248961 has 8 divisors (see below), whose sum is σ = 342784. Its totient is φ = 160560.

The previous prime is 248909. The next prime is 248971. The reversal of 248961 is 169842.

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

It is not a de Polignac number, because 248961 - 2¹¹ = 246913 is a prime.

It is a Duffinian number.

248961 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248961.

It is not an unprimeable number, because it can be changed into a prime (248971) 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, 1246 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (42848).

2²⁴⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

248961 is a deficient number, since it is larger than the sum of its proper divisors (93823).

248961 is a wasteful number, since it uses less digits than its factorization.

248961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711.

The product of its digits is 3456, while the sum is 30.

The square root of 248961 is about 498.9599182299. The cubic root of 248961 is about 62.9086607847.

It can be divided in two parts, 248 and 961, that multiplied together give a cube (238328 = 62³).

The spelling of 248961 in words is "two hundred forty-eight thousand, nine hundred sixty-one".