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37 is a prime number

• 37 can be written using four 4's:

See also 113.
37 has 2 divisors, whose sum is σ = 38. Its totient is φ = 36.

The previous prime is 31. The next prime is 41. The reversal of 37 is 73.

37 is nontrivially palindromic in base 6.

37 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 3-rd star number.

It is a Cunningham number, because it is equal to 62+1.

37 is an esthetic number in base 6, base 8 and base 11, because in such bases its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36 + 1 = 6^2 + 1^2 .

37 is a truncatable prime.

It is an emirp because it is prime and its reverse (73) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37 - 23 = 29 is a prime.

It is a Chen prime.

37 is an idoneal number.

It is a pancake number, because a pancake can be divided into 37 parts by 8 straight cuts.

37 is an undulating number in base 6.

It is the 4-th primeval number, because it sets a new record (4) in the number of distinct primes that is it possible to write using its digits.

37 is a lucky number.

It is a plaindrome in base 5, base 8, base 10, base 11, base 13, base 14, base 15 and base 16.

It is a nialpdrome in base 4, base 7, base 9 and base 12.

It is a congruent number.

It is a panconsummate number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is an upside-down number.

It is a good prime.

It is a Pierpont prime, being equal to 22 ⋅ 32 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18 + 19.

It is an arithmetic number, because the mean of its divisors is an integer number (19).

37 is the 4-th hex number.

It is an amenable number.

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

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

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

The product of its digits is 21, while the sum is 10.

The square root of 37 is about 6.0827625303. The cubic root of 37 is about 3.3322218516.

Subtracting from 37 its sum of digits (10), we obtain a cube (27 = 33).

Subtracting from 37 its product of digits (21), we obtain a 4-th power (16 = 24).

Multiplying 37 by its product of digits (21), we get a palindrome (777).

Subtracting 37 from its reverse (73), we obtain a triangular number (36 = T8).

Multiplying 37 by its reverse (73), we get a triangular number (2701 = T73).

The spelling of 37 in words is "thirty-seven", and thus it is an aban number, an oban number, and an uban number.