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37997 is a prime number
BaseRepresentation
bin1001010001101101
31221010022
421101231
52203442
6451525
7215531
oct112155
957108
1037997
1126603
1219ba5
13143ab
14dbc1
15b3d2
hex946d

37997 has 2 divisors, whose sum is σ = 37998. Its totient is φ = 37996.

The previous prime is 37993. The next prime is 38011. The reversal of 37997 is 79973.

37997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 361 = 194^2 + 19^2 .

It is an emirp because it is prime and its reverse (79973) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37997 - 22 = 37993 is a prime.

It is a d-powerful number, because it can be written as 39 + 72 + 93 + 93 + 75 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18998 + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (18999).

237997 is an apocalyptic number.

It is an amenable number.

37997 is a deficient number, since it is larger than the sum of its proper divisors (1).

37997 is an equidigital number, since it uses as much as digits as its factorization.

37997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11907, while the sum is 35.

The square root of 37997 is about 194.9281919067. The cubic root of 37997 is about 33.6188693143.

It can be divided in two parts, 379 and 97, that multiplied together give a palindrome (36763).

The spelling of 37997 in words is "thirty-seven thousand, nine hundred ninety-seven".