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37369 is a prime number
BaseRepresentation
bin1001000111111001
31220021001
421013321
52143434
6445001
7213643
oct110771
956231
1037369
1126092
1219761
1314017
14d893
15b114
hex91f9

37369 has 2 divisors, whose sum is σ = 37370. Its totient is φ = 37368.

The previous prime is 37363. The next prime is 37379. The reversal of 37369 is 96373.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 2025 = 188^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 37369 - 23 = 37361 is a prime.

It is a super-2 number, since 2×373692 = 2792884322, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (37361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18684 + 18685.

It is an arithmetic number, because the mean of its divisors is an integer number (18685).

237369 is an apocalyptic number.

It is an amenable number.

37369 is a deficient number, since it is larger than the sum of its proper divisors (1).

37369 is an equidigital number, since it uses as much as digits as its factorization.

37369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 37369 is about 193.3106308510. The cubic root of 37369 is about 33.4326261566.

It can be divided in two parts, 37 and 369, that added together give a triangular number (406 = T28).

The spelling of 37369 in words is "thirty-seven thousand, three hundred sixty-nine".