Search a number
-
+
92813141 is a prime number
BaseRepresentation
bin1011000100000…
…11011101010101
320110122101200202
411202003131111
5142230010031
613113150245
72204620151
oct542033525
9213571622
1092813141
1148432983
12270bb385
13162c8525
14c480061
1582352cb
hex5883755

92813141 has 2 divisors, whose sum is σ = 92813142. Its totient is φ = 92813140.

The previous prime is 92813129. The next prime is 92813153. The reversal of 92813141 is 14131829.

It is a balanced prime because it is at equal distance from previous prime (92813129) and next prime (92813153).

It can be written as a sum of positive squares in only one way, i.e., 92352100 + 461041 = 9610^2 + 679^2 .

It is a cyclic number.

It is not a de Polignac number, because 92813141 - 210 = 92812117 is a prime.

It is a super-2 number, since 2×928131412 = 17228558284571762, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p5370563 and since 92813141 and 5370563 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (92813641) 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, 46406570 + 46406571.

It is an arithmetic number, because the mean of its divisors is an integer number (46406571).

Almost surely, 292813141 is an apocalyptic number.

It is an amenable number.

92813141 is a deficient number, since it is larger than the sum of its proper divisors (1).

92813141 is an equidigital number, since it uses as much as digits as its factorization.

92813141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

The square root of 92813141 is about 9633.9577017963. The cubic root of 92813141 is about 452.7618475728.

The spelling of 92813141 in words is "ninety-two million, eight hundred thirteen thousand, one hundred forty-one".