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55319 = 1147107
BaseRepresentation
bin1101100000010111
32210212212
431200113
53232234
61104035
7320165
oct154027
983785
1055319
1138620
122801b
131c244
1416235
15115ce
hexd817

55319 has 8 divisors (see below), whose sum is σ = 62208. Its totient is φ = 48760.

The previous prime is 55313. The next prime is 55331. The reversal of 55319 is 91355.

55319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-55319 is a prime.

It is a super-2 number, since 2×553192 = 6120383522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 55294 and 55303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

255319 is an apocalyptic number.

55319 is a deficient number, since it is larger than the sum of its proper divisors (6889).

55319 is a wasteful number, since it uses less digits than its factorization.

55319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 675, while the sum is 23.

The square root of 55319 is about 235.1999149660. The cubic root of 55319 is about 38.1029066655.

The spelling of 55319 in words is "fifty-five thousand, three hundred nineteen".

Divisors: 1 11 47 107 517 1177 5029 55319