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55997 is a prime number
BaseRepresentation
bin1101101010111101
32211210222
431222331
53242442
61111125
7322154
oct155275
984728
1055997
1139087
12284a5
131c646
141659b
15118d2
hexdabd

55997 has 2 divisors, whose sum is σ = 55998. Its totient is φ = 55996.

The previous prime is 55987. The next prime is 56003. The reversal of 55997 is 79955.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 10201 = 214^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 55997 - 26 = 55933 is a prime.

It is a super-3 number, since 3×559973 = 526763332535919, which contains 333 as substring.

It is a Chen prime.

It is a plaindrome in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27998 + 27999.

It is an arithmetic number, because the mean of its divisors is an integer number (27999).

255997 is an apocalyptic number.

It is an amenable number.

55997 is a deficient number, since it is larger than the sum of its proper divisors (1).

55997 is an equidigital number, since it uses as much as digits as its factorization.

55997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14175, while the sum is 35.

The square root of 55997 is about 236.6368525822. The cubic root of 55997 is about 38.2579404535.

It can be divided in two parts, 5599 and 7, that multiplied together give a palindrome (39193).

The spelling of 55997 in words is "fifty-five thousand, nine hundred ninety-seven".