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88037 is a prime number
BaseRepresentation
bin10101011111100101
311110202122
4111133211
510304122
61515325
7514445
oct253745
9143678
1088037
1160164
1242b45
13310c1
1424125
151b142
hex157e5

88037 has 2 divisors, whose sum is σ = 88038. Its totient is φ = 88036.

The previous prime is 88019. The next prime is 88069. The reversal of 88037 is 73088.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 6241 = 286^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 88037 - 26 = 87973 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 87997 and 88015.

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 88037.

It is not a weakly prime, because it can be changed into another prime (88007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44018 + 44019.

It is an arithmetic number, because the mean of its divisors is an integer number (44019).

288037 is an apocalyptic number.

It is an amenable number.

88037 is a deficient number, since it is larger than the sum of its proper divisors (1).

88037 is an equidigital number, since it uses as much as digits as its factorization.

88037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 88037 is about 296.7102964172. The cubic root of 88037 is about 44.4858348215.

The spelling of 88037 in words is "eighty-eight thousand, thirty-seven".