Search a number
-
+
3137681 is a prime number
BaseRepresentation
bin1011111110000010010001
312220102002102
423332002101
51300401211
6151130145
735445521
oct13760221
95812072
103137681
111853428
121073955
1385b221
145b9681
1541ea3b
hex2fe091

3137681 has 2 divisors, whose sum is σ = 3137682. Its totient is φ = 3137680.

The previous prime is 3137669. The next prime is 3137699. The reversal of 3137681 is 1867313.

3137681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2356225 + 781456 = 1535^2 + 884^2 .

It is a cyclic number.

It is not a de Polignac number, because 3137681 - 210 = 3136657 is a prime.

It is a super-2 number, since 2×31376812 = 19690084115522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3137611) 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, 1568840 + 1568841.

It is an arithmetic number, because the mean of its divisors is an integer number (1568841).

Almost surely, 23137681 is an apocalyptic number.

It is an amenable number.

3137681 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137681 is an equidigital number, since it uses as much as digits as its factorization.

3137681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 29.

The square root of 3137681 is about 1771.3500501030. The cubic root of 3137681 is about 146.3983771855.

The spelling of 3137681 in words is "three million, one hundred thirty-seven thousand, six hundred eighty-one".