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37691 is a prime number
BaseRepresentation
bin1001001100111011
31220200222
421030323
52201231
6450255
7214613
oct111473
956628
1037691
1126355
121998b
1314204
14da43
15b27b
hex933b

37691 has 2 divisors, whose sum is σ = 37692. Its totient is φ = 37690.

The previous prime is 37663. The next prime is 37693. The reversal of 37691 is 19673.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37691 is a prime.

It is a super-2 number, since 2×376912 = 2841222962, which contains 22 as substring.

Together with 37693, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 37691.

It is not a weakly prime, because it can be changed into another prime (37693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18845 + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (18846).

237691 is an apocalyptic number.

37691 is a deficient number, since it is larger than the sum of its proper divisors (1).

37691 is an equidigital number, since it uses as much as digits as its factorization.

37691 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 37691 is about 194.1417008270. The cubic root of 37691 is about 33.5283787152.

The spelling of 37691 in words is "thirty-seven thousand, six hundred ninety-one".