Search a number
1461 = 3487
BaseRepresentation
bin10110110101
32000010
4112311
521321
610433
74155
oct2665
92003
101461
111109
12a19
13885
14765
15676
hex5b5

1461 has 4 divisors (see below), whose sum is σ = 1952. Its totient is φ = 972.

The previous prime is 1459. The next prime is 1471. The reversal of 1461 is 1641.

1461 is nontrivially palindromic in base 15 and base 16.

1461 is an esthetic number in base 14 and base 15, because in such bases its adjacent digits differ by 1.

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, and also an emirpimes, since its reverse is a distinct semiprime: 1641 = 3547.

It is not a de Polignac number, because 1461 - 21 = 1459 is a prime.

It is a D-number.

It is a Duffinian number.

1461 is an undulating number in base 15 and base 16.

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451) 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, 241 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (488).

It is an amenable number.

1461 is a deficient number, since it is larger than the sum of its proper divisors (491).

1461 is an equidigital number, since it uses as much as digits as its factorization.

1461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490.

The product of its digits is 24, while the sum is 12.

The square root of 1461 is about 38.2230297072. The cubic root of 1461 is about 11.3470614114.

Adding to 1461 its product of digits (24), we get a triangular number (1485 = T54).

The spelling of 1461 in words is "one thousand, four hundred sixty-one".

Divisors: 1 3 487 1461