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4461 = 31487
BaseRepresentation
bin1000101101101
320010020
41011231
5120321
632353
716002
oct10555
96106
104461
113396
1226b9
132052
1418a9
1514c6
hex116d

4461 has 4 divisors (see below), whose sum is σ = 5952. Its totient is φ = 2972.

The previous prime is 4457. The next prime is 4463. The reversal of 4461 is 1644.

Added to its reverse (1644) it gives a triangular number (6105 = T110).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4461 - 22 = 4457 is a prime.

It is a D-number.

It is a Curzon number.

4461 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4461.

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 4461.

It is not an unprimeable number, because it can be changed into a prime (4463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 741 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

It is an amenable number.

4461 is a deficient number, since it is larger than the sum of its proper divisors (1491).

4461 is a wasteful number, since it uses less digits than its factorization.

4461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490.

The product of its digits is 96, while the sum is 15.

The square root of 4461 is about 66.7907179180. The cubic root of 4461 is about 16.4618032884.

Adding to 4461 its reverse (1644), we get a triangular number (6105 = T110).

It can be divided in two parts, 44 and 61, that added together give a triangular number (105 = T14).

The spelling of 4461 in words is "four thousand, four hundred sixty-one".

Divisors: 1 3 1487 4461