3677 has 2 divisors, whose sum is σ = 3678. Its totient is φ = 3676.

The previous prime is 3673. The next prime is 3691. The reversal of 3677 is 7763.

3677 = 34^{2} + 35^{2} + 36^{2}.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3481 + 196 = 59^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 3677 - 2^{2} = 3673 is a prime.

It is a Chen prime.

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3677.

It is not a weakly prime, because it can be changed into another prime (3671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1838 + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (1839).

2^{3677} is an apocalyptic number.

It is an amenable number.

3677 is a deficient number, since it is larger than the sum of its proper divisors (1).

3677 is an equidigital number, since it uses as much as digits as its factorization.

3677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 23.

The square root of 3677 is about 60.6382717432. The cubic root of 3677 is about 15.4346887689.

It can be divided in two parts, 36 and 77, that multiplied together give a palindrome (2772).

The spelling of 3677 in words is "three thousand, six hundred seventy-seven".

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