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1395 = 32531
BaseRepresentation
bin10101110011
31220200
4111303
521040
610243
74032
oct2563
91820
101395
111059
12983
13834
14719
15630
hex573

1395 has 12 divisors (see below), whose sum is σ = 2496. Its totient is φ = 720.

The previous prime is 1381. The next prime is 1399. The reversal of 1395 is 5931.

It can be divided in two parts, 139 and 5, that added together give a square (144 = 122).

It is not a de Polignac number, because 1395 - 29 = 883 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

1395 is a lucky number.

It is a nialpdrome in base 12 and base 15.

It is not an unprimeable number, because it can be changed into a prime (1399) 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 in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (208).

1395 is a Friedman number, since it can be written as 31*9*5, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 1593 (with its own digits).

1395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1395 is a deficient number, since it is larger than the sum of its proper divisors (1101).

1395 is a wasteful number, since it uses less digits than its factorization.

1395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 39 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 1395 is about 37.3496987940. The cubic root of 1395 is about 11.1735558093.

The spelling of 1395 in words is "one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395