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34125781 is a prime number
BaseRepresentation
bin1000001000101…
…1011111010101
32101012202202211
42002023133111
532214011111
63215233421
7563031034
oct202133725
971182684
1034125781
1118299228
12b518871
1370bab91
14476471b
152ee1521
hex208b7d5

34125781 has 2 divisors, whose sum is σ = 34125782. Its totient is φ = 34125780.

The previous prime is 34125757. The next prime is 34125787. The reversal of 34125781 is 18752143.

34125781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28408900 + 5716881 = 5330^2 + 2391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34125781 is a prime.

It is a super-2 number, since 2×341257812 = 2329137857719922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34125787) 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, 17062890 + 17062891.

It is an arithmetic number, because the mean of its divisors is an integer number (17062891).

Almost surely, 234125781 is an apocalyptic number.

34125781 is the 2613-rd centered decagonal number.

It is an amenable number.

34125781 is a deficient number, since it is larger than the sum of its proper divisors (1).

34125781 is an equidigital number, since it uses as much as digits as its factorization.

34125781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 31.

The square root of 34125781 is about 5841.7275698204. The cubic root of 34125781 is about 324.3601802821.

The spelling of 34125781 in words is "thirty-four million, one hundred twenty-five thousand, seven hundred eighty-one".