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32768381 is a prime number
BaseRepresentation
bin111110100000…
…0000101111101
32021122210202202
41331000011331
531342042011
63130201245
7545345432
oct175000575
967583682
1032768381
1117551408
12ab83225
136a34099
1444cdb89
152d2423b
hex1f4017d

32768381 has 2 divisors, whose sum is σ = 32768382. Its totient is φ = 32768380.

The previous prime is 32768327. The next prime is 32768419. The reversal of 32768381 is 18386723.

It is a happy number.

It is an a-pointer prime, because the next prime (32768419) can be obtained adding 32768381 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30415225 + 2353156 = 5515^2 + 1534^2 .

It is an emirp because it is prime and its reverse (18386723) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32768381 is a prime.

It is a super-2 number, since 2×327683812 = 2147533586722322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32768311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16384190 + 16384191.

It is an arithmetic number, because the mean of its divisors is an integer number (16384191).

Almost surely, 232768381 is an apocalyptic number.

It is an amenable number.

32768381 is a deficient number, since it is larger than the sum of its proper divisors (1).

32768381 is an equidigital number, since it uses as much as digits as its factorization.

32768381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 32768381 is about 5724.3673012832. The cubic root of 32768381 is about 320.0012402296.

The spelling of 32768381 in words is "thirty-two million, seven hundred sixty-eight thousand, three hundred eighty-one".