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1337 = 7191
BaseRepresentation
bin10100111001
31211112
4110321
520322
610105
73620
oct2471
91745
101337
111006
12935
137bb
146b7
155e2
hex539

1337 has 4 divisors (see below), whose sum is σ = 1536. Its totient is φ = 1140.

The previous prime is 1327. The next prime is 1361. The reversal of 1337 is 7331.

Adding to 1337 its reverse (7331), we get a palindrome (8668).

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1337 - 24 = 1321 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10 and base 13.

It is not an unprimeable number, because it can be changed into a prime (1307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (384).

It is an amenable number.

1337 is a deficient number, since it is larger than the sum of its proper divisors (199).

1337 is an equidigital number, since it uses as much as digits as its factorization.

1337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 63, while the sum is 14.

The square root of 1337 is about 36.5650105976. The cubic root of 1337 is about 11.0165041508.

The spelling of 1337 in words is "one thousand, three hundred thirty-seven".

Divisors: 1 7 191 1337