37221 has 8 divisors (see below), whose sum is σ = 52320. Its totient is φ = 23472.

The previous prime is 37217. The next prime is 37223. The reversal of 37221 is 12273.

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

It is not a de Polignac number, because 37221 - 2² = 37217 is a prime.

It is a d-powerful number, because it can be written as 3 + 7⁴ + 2¹¹ + 2¹⁵ + 1 .

It is a self number, because there is not a number n which added to its sum of digits gives 37221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 270 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (6540).

2³⁷²²¹ is an apocalyptic number.

It is an amenable number.

37221 is a deficient number, since it is larger than the sum of its proper divisors (15099).

37221 is a wasteful number, since it uses less digits than its factorization.

37221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its digits is 84, while the sum is 15.

The square root of 37221 is about 192.9274475029. The cubic root of 37221 is about 33.3884310991.

Adding to 37221 its reverse (12273), we get a palindrome (49494).

It can be divided in two parts, 372 and 21, that added together give a palindrome (393).

The spelling of 37221 in words is "thirty-seven thousand, two hundred twenty-one".