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385537 is a prime number
BaseRepresentation
bin1011110001000000001
3201120212011
41132020001
544314122
612132521
73164005
oct1361001
9646764
10385537
11243729
12167141
13106639
14a0705
1579377
hex5e201

385537 has 2 divisors, whose sum is σ = 385538. Its totient is φ = 385536.

The previous prime is 385531. The next prime is 385559. The reversal of 385537 is 735583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 361201 + 24336 = 601^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 385537 - 211 = 383489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385499 and 385508.

It is not a weakly prime, because it can be changed into another prime (385531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192768 + 192769.

It is an arithmetic number, because the mean of its divisors is an integer number (192769).

2385537 is an apocalyptic number.

It is an amenable number.

385537 is a deficient number, since it is larger than the sum of its proper divisors (1).

385537 is an equidigital number, since it uses as much as digits as its factorization.

385537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12600, while the sum is 31.

The square root of 385537 is about 620.9162584439. The cubic root of 385537 is about 72.7816708072.

The spelling of 385537 in words is "three hundred eighty-five thousand, five hundred thirty-seven".