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37441 is a prime number
BaseRepresentation
bin1001001001000001
31220100201
421021001
52144231
6445201
7214105
oct111101
956321
1037441
1126148
1219801
1314071
14d905
15b161
hex9241

37441 has 2 divisors, whose sum is σ = 37442. Its totient is φ = 37440.

The previous prime is 37423. The next prime is 37447. The reversal of 37441 is 14473.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 5041 = 180^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 37441 - 25 = 37409 is a prime.

It is not a weakly prime, because it can be changed into another prime (37447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18720 + 18721.

It is an arithmetic number, because the mean of its divisors is an integer number (18721).

237441 is an apocalyptic number.

It is an amenable number.

37441 is a deficient number, since it is larger than the sum of its proper divisors (1).

37441 is an equidigital number, since it uses as much as digits as its factorization.

37441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 19.

The square root of 37441 is about 193.4967699989. The cubic root of 37441 is about 33.4540842704.

The spelling of 37441 in words is "thirty-seven thousand, four hundred forty-one".