Search a number
-
+
825235337 is a prime number
BaseRepresentation
bin110001001100000…
…001011110001001
32010111211022001202
4301030001132021
53142230012322
6213515353545
726310245633
oct6114013611
92114738052
10825235337
11393907583
121b04528b5
13101c7a244
147b857a53
154c6ae292
hex31301789

825235337 has 2 divisors, whose sum is σ = 825235338. Its totient is φ = 825235336.

The previous prime is 825235321. The next prime is 825235363. The reversal of 825235337 is 733532528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 649434256 + 175801081 = 25484^2 + 13259^2 .

It is a cyclic number.

It is not a de Polignac number, because 825235337 - 24 = 825235321 is a prime.

It is a super-2 number, since 2×8252353372 = 1362026722867007138, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825235337.

It is not a weakly prime, because it can be changed into another prime (825235237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412617668 + 412617669.

It is an arithmetic number, because the mean of its divisors is an integer number (412617669).

Almost surely, 2825235337 is an apocalyptic number.

It is an amenable number.

825235337 is a deficient number, since it is larger than the sum of its proper divisors (1).

825235337 is an equidigital number, since it uses as much as digits as its factorization.

825235337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 151200, while the sum is 38.

The square root of 825235337 is about 28726.9096319113. The cubic root of 825235337 is about 937.9778989705.

The spelling of 825235337 in words is "eight hundred twenty-five million, two hundred thirty-five thousand, three hundred thirty-seven".