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2137741 is a prime number
BaseRepresentation
bin1000001001111010001101
311000121102121
420021322031
51021401431
6113452541
724112324
oct10117215
94017377
102137741
111230131
12871151
1359b048
143d90bb
152c3611
hex209e8d

2137741 has 2 divisors, whose sum is σ = 2137742. Its totient is φ = 2137740.

The previous prime is 2137727. The next prime is 2137763. The reversal of 2137741 is 1477312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1552516 + 585225 = 1246^2 + 765^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137741 - 27 = 2137613 is a prime.

It is a d-powerful number, because it can be written as 219 + 1 + 313 + 73 + 74 + 47 + 1 .

2137741 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068870 + 1068871.

It is an arithmetic number, because the mean of its divisors is an integer number (1068871).

22137741 is an apocalyptic number.

It is an amenable number.

2137741 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137741 is an equidigital number, since it uses as much as digits as its factorization.

2137741 is an evil number, because the sum of its binary digits is even.

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

The square root of 2137741 is about 1462.1015696592. The cubic root of 2137741 is about 128.8205143629.

The spelling of 2137741 in words is "two million, one hundred thirty-seven thousand, seven hundred forty-one".