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37087 is a prime number
BaseRepresentation
bin1001000011011111
31212212121
421003133
52141322
6443411
7213061
oct110337
955777
1037087
1125956
1219567
1313b5b
14d731
15aec7
hex90df

37087 has 2 divisors, whose sum is σ = 37088. Its totient is φ = 37086.

The previous prime is 37061. The next prime is 37097. The reversal of 37087 is 78073.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37087 is a prime.

37087 is a lucky number.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is a zygodrome in base 9.

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 37087.

It is not a weakly prime, because it can be changed into another prime (37057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18543 + 18544.

It is an arithmetic number, because the mean of its divisors is an integer number (18544).

237087 is an apocalyptic number.

37087 is a deficient number, since it is larger than the sum of its proper divisors (1).

37087 is an equidigital number, since it uses as much as digits as its factorization.

37087 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 37087 is about 192.5798535673. The cubic root of 37087 is about 33.3483154873.

The spelling of 37087 in words is "thirty-seven thousand, eighty-seven".