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34872973 is a prime number
BaseRepresentation
bin1000010100000…
…1111010001101
32102121201201121
42011001322031
532411413343
63243240541
7602262322
oct205017215
972551647
1034872973
1118759643
12b819151
1372bccc5
1448bab49
1530dcaed
hex2141e8d

34872973 has 2 divisors, whose sum is σ = 34872974. Its totient is φ = 34872972.

The previous prime is 34872949. The next prime is 34872983. The reversal of 34872973 is 37927843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19333609 + 15539364 = 4397^2 + 3942^2 .

It is an emirp because it is prime and its reverse (37927843) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34872973 is a prime.

It is a super-2 number, since 2×348729732 = 2432248491717458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34872913) 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, 17436486 + 17436487.

It is an arithmetic number, because the mean of its divisors is an integer number (17436487).

Almost surely, 234872973 is an apocalyptic number.

It is an amenable number.

34872973 is a deficient number, since it is larger than the sum of its proper divisors (1).

34872973 is an equidigital number, since it uses as much as digits as its factorization.

34872973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 43.

The square root of 34872973 is about 5905.3342835101. The cubic root of 34872973 is about 326.7104239362.

The spelling of 34872973 in words is "thirty-four million, eight hundred seventy-two thousand, nine hundred seventy-three".