Search a number
-
+
71837741 is a prime number
BaseRepresentation
bin1000100100000…
…10100000101101
312000011201212002
410102002200231
5121342301431
611043422045
71531416323
oct422024055
9160151762
1071837741
1137606838
1220084925
1311b63151
14977dd13
1564903cb
hex448282d

71837741 has 2 divisors, whose sum is σ = 71837742. Its totient is φ = 71837740.

The previous prime is 71837657. The next prime is 71837743. The reversal of 71837741 is 14773817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40589641 + 31248100 = 6371^2 + 5590^2 .

It is a cyclic number.

It is not a de Polignac number, because 71837741 - 210 = 71836717 is a prime.

It is a super-2 number, since 2×718377412 = 10321322063966162, which contains 22 as substring.

Together with 71837743, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 71837695 and 71837704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71837743) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35918870 + 35918871.

It is an arithmetic number, because the mean of its divisors is an integer number (35918871).

Almost surely, 271837741 is an apocalyptic number.

It is an amenable number.

71837741 is a deficient number, since it is larger than the sum of its proper divisors (1).

71837741 is an equidigital number, since it uses as much as digits as its factorization.

71837741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32928, while the sum is 38.

The square root of 71837741 is about 8475.7147781175. The cubic root of 71837741 is about 415.7040181494.

The spelling of 71837741 in words is "seventy-one million, eight hundred thirty-seven thousand, seven hundred forty-one".