5461 has 4 divisors (see below), whose sum is σ = 5632. Its totient is φ = 5292.

The previous prime is 5449. The next prime is 5471. The reversal of 5461 is 1645.

Subtracting from 5461 its sum of digits (16), we obtain a palindrome (5445).

5461 is nontrivially palindromic in base 2 and base 4.

5461 is an esthetic number in base 2, because in such base 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.

It is a 3-Lehmer number, since φ(5461) divides (5461-1)^{3}.

It is a cyclic number.

It is not a de Polignac number, because 5461 - 2^{7} = 5333 is a prime.

It is the 14-th Jacobsthal number.

It is a pancake number, because a pancake can be divided into 5461 parts by 104 straight cuts.

It is a deceptive number, since it divides R_{5460}.

It is a Duffinian number.

5461 is an undulating number in base 2.

5461 is a nontrivial repdigit in base 4.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431) by changing a digit.

It is a nontrivial repunit in base 4.

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, 21 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (1408).

It is a Poulet number, since it divides 2^{5460}-1.

5461 is the 43-rd octagonal number.

5461 is the 40-th centered heptagonal number.

It is an amenable number.

5461 is a deficient number, since it is larger than the sum of its proper divisors (171).

5461 is a wasteful number, since it uses less digits than its factorization.

5461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 120, while the sum is 16.

The square root of 5461 is about 73.8985791474. The cubic root of 5461 is about 17.6099203714.

The spelling of 5461 in words is "five thousand, four hundred sixty-one".

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