Search a number
-
+
829670441 is a prime number
BaseRepresentation
bin110001011100111…
…100010000101001
32010211011121212212
4301130330100221
53144343423231
6214154414505
726363040155
oct6134742051
92124147785
10829670441
11396366756
121b1a31435
13102b70b72
147c290065
154cc8842b
hex3173c429

829670441 has 2 divisors, whose sum is σ = 829670442. Its totient is φ = 829670440.

The previous prime is 829670399. The next prime is 829670497. The reversal of 829670441 is 144076928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829670416 + 25 = 28804^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 829670441 - 222 = 825476137 is a prime.

It is equal to p42592388 and since 829670441 and 42592388 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (829670641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414835220 + 414835221.

It is an arithmetic number, because the mean of its divisors is an integer number (414835221).

Almost surely, 2829670441 is an apocalyptic number.

It is an amenable number.

829670441 is a deficient number, since it is larger than the sum of its proper divisors (1).

829670441 is an equidigital number, since it uses as much as digits as its factorization.

829670441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 829670441 is about 28804.0004339675. Note that the first 3 decimals coincide. The cubic root of 829670441 is about 939.6552383636.

The spelling of 829670441 in words is "eight hundred twenty-nine million, six hundred seventy thousand, four hundred forty-one".