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1364 = 221131
BaseRepresentation
bin10101010100
31212112
4111110
520424
610152
73656
oct2524
91775
101364
111030
12958
1380c
146d6
1560e
hex554

1364 has 12 divisors (see below), whose sum is σ = 2688. Its totient is φ = 600.

The previous prime is 1361. The next prime is 1367. The reversal of 1364 is 4631.

Adding to 1364 its sum of digits (14), we get a triangular number (1378 = T52).

Adding to 1364 its reverse (4631), we get a palindrome (5995).

It can be divided in two parts, 13 and 64, that added together give a palindrome (77).

1364 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (1361) and next prime (1367).

It is a Lucas number.

It is a d-powerful number, because it can be written as 1 + 64 + 3 + 43 .

1364 is an undulating number in base 14.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 59.

It is an arithmetic number, because the mean of its divisors is an integer number (224).

It is an amenable number.

1364 is a deficient number, since it is larger than the sum of its proper divisors (1324).

1364 is a wasteful number, since it uses less digits than its factorization.

1364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 44 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 1364 is about 36.9323706252. The cubic root of 1364 is about 11.0901679568.

The spelling of 1364 in words is "one thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364