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363989 is a prime number
BaseRepresentation
bin1011000110111010101
3200111022002
41120313111
543121424
611445045
73044123
oct1306725
9614262
10363989
1122951a
12156785
13c98a2
1496913
1572cae
hex58dd5

363989 has 2 divisors, whose sum is σ = 363990. Its totient is φ = 363988.

The previous prime is 363977. The next prime is 364027. The reversal of 363989 is 989363.

It is a happy number.

It is an a-pointer prime, because the next prime (364027) can be obtained adding 363989 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 70225 = 542^2 + 265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-363989 is a prime.

It is a Chen 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 363989.

It is not a weakly prime, because it can be changed into another prime (363949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181994 + 181995.

It is an arithmetic number, because the mean of its divisors is an integer number (181995).

2363989 is an apocalyptic number.

It is an amenable number.

363989 is a deficient number, since it is larger than the sum of its proper divisors (1).

363989 is an equidigital number, since it uses as much as digits as its factorization.

363989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 38.

The square root of 363989 is about 603.3150089298. The cubic root of 363989 is about 71.3996505775.

The spelling of 363989 in words is "three hundred sixty-three thousand, nine hundred eighty-nine".