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29741 is a prime number
BaseRepresentation
bin111010000101101
31111210112
413100231
51422431
6345405
7152465
oct72055
944715
1029741
1120388
1215265
13106ca
14aba5
158c2b
hex742d

29741 has 2 divisors, whose sum is σ = 29742. Its totient is φ = 29740.

The previous prime is 29723. The next prime is 29753. The reversal of 29741 is 14792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 841 = 170^2 + 29^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29741 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29741.

It is not a weakly prime, because it can be changed into another prime (29761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14870 + 14871.

It is an arithmetic number, because the mean of its divisors is an integer number (14871).

229741 is an apocalyptic number.

It is an amenable number.

29741 is a deficient number, since it is larger than the sum of its proper divisors (1).

29741 is an equidigital number, since it uses as much as digits as its factorization.

29741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 23.

The square root of 29741 is about 172.4557914365. The cubic root of 29741 is about 30.9826472429.

The spelling of 29741 in words is "twenty-nine thousand, seven hundred forty-one".