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1377 = 3417
BaseRepresentation
bin10101100001
31220000
4111201
521002
610213
74005
oct2541
91800
101377
111042
12969
1381c
14705
1561c
hex561

1377 has 10 divisors (see below), whose sum is σ = 2178. Its totient is φ = 864.

The previous prime is 1373. The next prime is 1381. The reversal of 1377 is 7731.

It can be divided in two parts, 137 and 7, that multiplied together give a palindrome (959).

1377 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (1373) and next prime (1381).

It can be written as a sum of positive squares in only one way, i.e., 1296 + 81 = 36^2 + 9^2 .

It is not a de Polignac number, because 1377 - 22 = 1373 is a prime.

It is a super-2 number, since 2×13772 = 3792258, which contains 22 as substring.

It is an Ulam number.

1377 is an undulating number in base 12.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1373) 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 9 ways as a sum of consecutive naturals, for example, 73 + ... + 89.

1377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1377 is a deficient number, since it is larger than the sum of its proper divisors (801).

1377 is an equidigital number, since it uses as much as digits as its factorization.

1377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 20 counting only the distinct ones).

The product of its digits is 147, while the sum is 18.

The square root of 1377 is about 37.1079506306. The cubic root of 1377 is about 11.1252893078.

The spelling of 1377 in words is "one thousand, three hundred seventy-seven", and thus it is an iban number.

Divisors: 1 3 9 17 27 51 81 153 459 1377