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1988137 is a prime number
BaseRepresentation
bin111100101011000101001
310202000012201
413211120221
51002110022
6110340201
722620214
oct7453051
93660181
101988137
111138798
127ba661
13547c18
1439a77b
15294127
hex1e5629

1988137 has 2 divisors, whose sum is σ = 1988138. Its totient is φ = 1988136.

The previous prime is 1988113. The next prime is 1988177. The reversal of 1988137 is 7318891.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1058841 + 929296 = 1029^2 + 964^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1988137 is a prime.

It is a Chen prime.

1988137 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1988096 and 1988105.

It is not a weakly prime, because it can be changed into another prime (1988177) 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, 994068 + 994069.

It is an arithmetic number, because the mean of its divisors is an integer number (994069).

21988137 is an apocalyptic number.

It is an amenable number.

1988137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1988137 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 11 representation: 1988137 = (1138798)11.

1988137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 37.

The square root of 1988137 is about 1410.0131205063. The cubic root of 1988137 is about 125.7425034430.

Subtracting from 1988137 its sum of digits (37), we obtain a square (1988100 = 14102).

The spelling of 1988137 in words is "one million, nine hundred eighty-eight thousand, one hundred thirty-seven".