37366 has 16 divisors (see below), whose sum is σ = 68256. Its totient is φ = 14976.

The previous prime is 37363. The next prime is 37369. The reversal of 37366 is 66373.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37363) and next prime (37369).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 37366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (4266).

2³⁷³⁶⁶ is an apocalyptic number.

37366 is a deficient number, since it is larger than the sum of its proper divisors (30890).

37366 is a wasteful number, since it uses less digits than its factorization.

37366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

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

The square root of 37366 is about 193.3028711634. The cubic root of 37366 is about 33.4317314706.

The spelling of 37366 in words is "thirty-seven thousand, three hundred sixty-six".