1362 has 8 divisors (see below), whose sum is σ = 2736. Its totient is φ = 452.

The previous prime is 1361. The next prime is 1367. The reversal of 1362 is 2631.

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

1362 is an admirable number.

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 16.

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, 108 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

1362 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368).

1362 is a wasteful number, since it uses less digits than its factorization.

1362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its digits is 36, while the sum is 12.

The square root of 1362 is about 36.9052841745. The cubic root of 1362 is about 11.0847448909.

Subtracting from 1362 its product of digits (36), we obtain a triangular number (1326 = T₅₁).

Adding to 1362 its reverse (2631), we get a palindrome (3993).

It can be divided in two parts, 136 and 2, that multiplied together give a palindrome (272).

The spelling of 1362 in words is "one thousand, three hundred sixty-two".