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51461 is a prime number
BaseRepresentation
bin1100100100000101
32121120222
430210011
53121321
61034125
7303014
oct144405
977528
1051461
1135733
1225945
131a567
1414a7b
15103ab
hexc905

51461 has 2 divisors, whose sum is σ = 51462. Its totient is φ = 51460.

The previous prime is 51449. The next prime is 51473. The reversal of 51461 is 16415.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (51449) and next prime (51473).

It can be written as a sum of positive squares in only one way, i.e., 42436 + 9025 = 206^2 + 95^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25730 + 25731.

It is an arithmetic number, because the mean of its divisors is an integer number (25731).

251461 is an apocalyptic number.

It is an amenable number.

51461 is a deficient number, since it is larger than the sum of its proper divisors (1).

51461 is an equidigital number, since it uses as much as digits as its factorization.

51461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 51461 is about 226.8501708177. The cubic root of 51461 is about 37.1957003548.

Adding to 51461 its reverse (16415), we get a palindrome (67876).

It can be divided in two parts, 514 and 61, that added together give a palindrome (575).

The spelling of 51461 in words is "fifty-one thousand, four hundred sixty-one".