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BaseRepresentation
bin1000110011000101
31211102201
420303011
52123122
6434501
7210031
oct106305
954381
1036037
1125091
1218a31
1313531
14d1c1
15aa27
hex8cc5

36037 has 2 divisors, whose sum is σ = 36038. Its totient is φ = 36036.

The previous prime is 36017. The next prime is 36061. The reversal of 36037 is 73063.

It is a happy number.

36037 is nontrivially palindromic in base 13.

It is the 78-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 12321 = 154^2 + 111^2 .

It is an emirp because it is prime and its reverse (73063) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36037 is a prime.

36037 is a modest number, since divided by 37 gives 36 as remainder.

36037 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18018 + 18019.

It is an arithmetic number, because the mean of its divisors is an integer number (18019).

236037 is an apocalyptic number.

It is an amenable number.

36037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36037 is an equidigital number, since it uses as much as digits as its factorization.

36037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 36037 is about 189.8341381312. The cubic root of 36037 is about 33.0305807739.

The spelling of 36037 in words is "thirty-six thousand, thirty-seven".