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58337129 is a prime number
BaseRepresentation
bin1101111010001…
…0011101101001
311001202211111102
43132202131221
5104413242004
65442211145
71305600044
oct336423551
9131684442
1058337129
112aa25604
1217653ab5
13c117116
147a67c5b
1551c511e
hex37a2769

58337129 has 2 divisors, whose sum is σ = 58337130. Its totient is φ = 58337128.

The previous prime is 58337119. The next prime is 58337159. The reversal of 58337129 is 92173385.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52954729 + 5382400 = 7277^2 + 2320^2 .

It is a cyclic number.

It is not a de Polignac number, because 58337129 - 224 = 41559913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58337092 and 58337101.

It is not a weakly prime, because it can be changed into another prime (58337119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29168564 + 29168565.

It is an arithmetic number, because the mean of its divisors is an integer number (29168565).

Almost surely, 258337129 is an apocalyptic number.

It is an amenable number.

58337129 is a deficient number, since it is larger than the sum of its proper divisors (1).

58337129 is an equidigital number, since it uses as much as digits as its factorization.

58337129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 58337129 is about 7637.8746389293. The cubic root of 58337129 is about 387.8362068595.

The spelling of 58337129 in words is "fifty-eight million, three hundred thirty-seven thousand, one hundred twenty-nine".