37636 has 9 divisors (see below), whose sum is σ = 66549. Its totient is φ = 18624.

The previous prime is 37633. The next prime is 37643. The reversal of 37636 is 63673.

Multipling 37636 by its sum of digits (25), we get a square (940900 = 970^{2}).

It can be divided in two parts, 3763 and 6, that multiplied together give a triangular number (22578 = T_{212}).

37636 = T_{193} + T_{194}.

It is a happy number.

The square root of 37636 is 194.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 20736 = 130^2 + 144^2 .

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 37636.

It is not an unprimeable number, because it can be changed into a prime (37633) 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 2 ways as a sum of consecutive naturals, for example, 340 + ... + 436.

2^{37636} is an apocalyptic number.

37636 is the 194-th square number.

It is an amenable number.

37636 is a deficient number, since it is larger than the sum of its proper divisors (28913).

37636 is an equidigital number, since it uses as much as digits as its factorization.

37636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its digits is 2268, while the sum is 25.

The cubic root of 37636 is about 33.5120621893.

The spelling of 37636 in words is "thirty-seven thousand, six hundred thirty-six".

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