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122664937 is a prime number
BaseRepresentation
bin1110100111110…
…11011111101001
322112211000122211
413103323133221
5222400234222
620101045121
73016430503
oct723733751
9275730584
10122664937
1163271a8a
12350b67a1
131c54ac05
1412410d73
15ab80277
hex74fb7e9

122664937 has 2 divisors, whose sum is σ = 122664938. Its totient is φ = 122664936.

The previous prime is 122664929. The next prime is 122664973. The reversal of 122664937 is 739466221.

It is a happy number.

Together with next prime (122664973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109495296 + 13169641 = 10464^2 + 3629^2 .

It is a cyclic number.

It is not a de Polignac number, because 122664937 - 23 = 122664929 is a prime.

It is equal to p6984670 and since 122664937 and 6984670 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122664937.

It is not a weakly prime, because it can be changed into another prime (122661937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61332468 + 61332469.

It is an arithmetic number, because the mean of its divisors is an integer number (61332469).

Almost surely, 2122664937 is an apocalyptic number.

It is an amenable number.

122664937 is a deficient number, since it is larger than the sum of its proper divisors (1).

122664937 is an equidigital number, since it uses as much as digits as its factorization.

122664937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 40.

The square root of 122664937 is about 11075.4203983415. The cubic root of 122664937 is about 496.8669921946.

The spelling of 122664937 in words is "one hundred twenty-two million, six hundred sixty-four thousand, nine hundred thirty-seven".