37706 has 8 divisors (see below), whose sum is σ = 59940. Its totient is φ = 17728.

The previous prime is 37699. The next prime is 37717. The reversal of 37706 is 60773.

It can be written as a sum of positive squares in 2 ways, for example, as 36481 + 1225 = 191^2 + 35^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-5 number, since 5×37706⁵ (a number of 24 digits) contains 55555 as substring.

It is a nialpdrome in base 14.

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 37706.

It is an unprimeable number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521 + ... + 588.

2³⁷⁷⁰⁶ is an apocalyptic number.

37706 is a deficient number, since it is larger than the sum of its proper divisors (22234).

37706 is a wasteful number, since it uses less digits than its factorization.

37706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

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

The square root of 37706 is about 194.1803285609. The cubic root of 37706 is about 33.5328259217.

The spelling of 37706 in words is "thirty-seven thousand, seven hundred six".