Search a number
12355813 is a prime number
BaseRepresentation
bin101111001000…
…100011100101
3212020201222201
4233020203211
511130341223
61120454501
7210010531
oct57104345
925221881
1012355813
116a7a118
12417a431
132737c42
1418d8bc1
hexbc88e5

12355813 has 2 divisors, whose sum is σ = 12355814. Its totient is φ = 12355812.

The previous prime is 12355799. The next prime is 12355823. The reversal of 12355813 is 31855321.

12355813 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., 12264004 + 91809 = 3502^2 + 303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12355813 is a prime.

It is a super-2 number, since 2×123558132 = 305332229781938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12355823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6177906 + 6177907.

It is an arithmetic number, because the mean of its divisors is an integer number (6177907).

Almost surely, 212355813 is an apocalyptic number.

It is an amenable number.

12355813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12355813 is an equidigital number, since it uses as much as digits as its factorization.

12355813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3600, while the sum is 28.

The square root of 12355813 is about 3515.0836405411. The cubic root of 12355813 is about 231.1836461196.

The spelling of 12355813 in words is "twelve million, three hundred fifty-five thousand, eight hundred thirteen".