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16461 = 323159
BaseRepresentation
bin100000001001101
3211120200
410001031
51011321
6204113
765664
oct40115
924520
1016461
1111405
129639
137653
145ddb
154d26
hex404d

16461 has 12 divisors (see below), whose sum is σ = 24960. Its totient is φ = 10440.

The previous prime is 16453. The next prime is 16477.

It can be divided in two parts, 164 and 61, that added together give a square (225 = 152).

16461 is nontrivially palindromic in base 10.

16461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16461 - 23 = 16453 is a prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (2080).

216461 is an apocalyptic number.

It is an amenable number.

16461 is a deficient number, since it is larger than the sum of its proper divisors (8499).

16461 is a wasteful number, since it uses less digits than its factorization.

16461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 93 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 16461 is about 128.3004286821. The cubic root of 16461 is about 25.4381430352.

The spelling of 16461 in words is "sixteen thousand, four hundred sixty-one".

Divisors: 1 3 9 31 59 93 177 279 531 1829 5487 16461