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2137957 is a prime number
BaseRepresentation
bin1000001001111101100101
311000121201121
420021331211
51021403312
6113453541
724113053
oct10117545
94017647
102137957
111230308
128712b1
1359b183
143d91d3
152c3707
hex209f65

2137957 has 2 divisors, whose sum is σ = 2137958. Its totient is φ = 2137956.

The previous prime is 2137943. The next prime is 2137963. The reversal of 2137957 is 7597312.

2137957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1442401 + 695556 = 1201^2 + 834^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137957 - 27 = 2137829 is a prime.

2137957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137907) 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, 1068978 + 1068979.

It is an arithmetic number, because the mean of its divisors is an integer number (1068979).

22137957 is an apocalyptic number.

It is an amenable number.

2137957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137957 is an equidigital number, since it uses as much as digits as its factorization.

2137957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 34.

The square root of 2137957 is about 1462.1754340708. The cubic root of 2137957 is about 128.8248529450.

The spelling of 2137957 in words is "two million, one hundred thirty-seven thousand, nine hundred fifty-seven".