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37021 is a prime number
BaseRepresentation
bin1001000010011101
31212210011
421002131
52141041
6443221
7212635
oct110235
955704
1037021
11258a6
1219511
1313b0a
14d6c5
15ae81
hex909d

37021 has 2 divisors, whose sum is σ = 37022. Its totient is φ = 37020.

The previous prime is 37019. The next prime is 37039. The reversal of 37021 is 12073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 12996 = 155^2 + 114^2 .

It is an emirp because it is prime and its reverse (12073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37021 - 21 = 37019 is a prime.

Together with 37019, it forms a pair of twin primes.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 36992 and 37010.

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 37021.

It is not a weakly prime, because it can be changed into another prime (37061) 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 as a sum of consecutive naturals, namely, 18510 + 18511.

It is an arithmetic number, because the mean of its divisors is an integer number (18511).

237021 is an apocalyptic number.

It is an amenable number.

37021 is a deficient number, since it is larger than the sum of its proper divisors (1).

37021 is an equidigital number, since it uses as much as digits as its factorization.

37021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 37021 is about 192.4084197742. The cubic root of 37021 is about 33.3285215277.

Adding to 37021 its reverse (12073), we get a palindrome (49094).

The spelling of 37021 in words is "thirty-seven thousand, twenty-one".