3737 has 4 divisors (see below), whose sum is σ = 3876. Its totient is φ = 3600.

The previous prime is 3733. The next prime is 3739. The reversal of 3737 is 7373.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7373 = 73 ⋅101.

It can be written as a sum of positive squares in 2 ways, for example, as 3481 + 256 = 59^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 3737 - 2² = 3733 is a prime.

It is a Duffinian number.

3737 is an undulating number in base 10.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (969).

3737 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3737 is a deficient number, since it is larger than the sum of its proper divisors (139).

3737 is a wasteful number, since it uses less digits than its factorization.

3737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 441, while the sum is 20.

The square root of 3737 is about 61.1310068623. The cubic root of 3737 is about 15.5181888452.

It can be divided in two parts, 3 and 737, that multiplied together give a triangular number (2211 = T₆₆).

The spelling of 3737 in words is "three thousand, seven hundred thirty-seven".