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248661 = 3273947

248661 has 12 divisors (see below), whose sum is σ = 410592. Its totient is φ = 142056.

The previous prime is 248657. The next prime is 248683. The reversal of 248661 is 166842.

It can be divided in two parts, 248 and 661, that added together give a palindrome (909).

It is not a de Polignac number, because 248661 - 22 = 248657 is a prime.

It is a Curzon number.

248661 is a lucky number.

It is a nialpdrome in base 12.

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 248661.

It is not an unprimeable number, because it can be changed into a prime (248621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1911 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (34216).

2248661 is an apocalyptic number.

248661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

248661 is a deficient number, since it is larger than the sum of its proper divisors (161931).

248661 is a wasteful number, since it uses less digits than its factorization.

248661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3957 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 248661 is about 498.6592022614. The cubic root of 248661 is about 62.8833821482.

The spelling of 248661 in words is "two hundred forty-eight thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 63 3947 11841 27629 35523 82887 248661