Search a number
55457 is a prime number
BaseRepresentation
bin1101100010100001
32211001222
431202201
53233312
61104425
7320453
oct154241
984058
1055457
1138736
1228115
131c31c
14162d3
1511672
hexd8a1

55457 has 2 divisors, whose sum is σ = 55458. Its totient is φ = 55456.

The previous prime is 55441. The next prime is 55469. The reversal of 55457 is 75455.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 26896 = 169^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 55457 - 24 = 55441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (55487) 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 as a sum of consecutive naturals, namely, 27728 + 27729.

It is an arithmetic number, because the mean of its divisors is an integer number (27729).

255457 is an apocalyptic number.

It is an amenable number.

55457 is a deficient number, since it is larger than the sum of its proper divisors (1).

55457 is an equidigital number, since it uses as much as digits as its factorization.

55457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3500, while the sum is 26.

The square root of 55457 is about 235.4930996866. The cubic root of 55457 is about 38.1345644731.

It can be divided in two parts, 55 and 457, that added together give a 9-th power (512 = 29).

The spelling of 55457 in words is "fifty-five thousand, four hundred fifty-seven".