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905381 is a prime number
BaseRepresentation
bin11011101000010100101
31200222221122
43131002211
5212433011
631223325
710460411
oct3350245
91628848
10905381
11569254
12377b45
13259139
14197d41
1512d3db
hexdd0a5

905381 has 2 divisors, whose sum is σ = 905382. Its totient is φ = 905380.

The previous prime is 905347. The next prime is 905413. The reversal of 905381 is 183509.

905381 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., 592900 + 312481 = 770^2 + 559^2 .

It is an emirp because it is prime and its reverse (183509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905381 - 210 = 904357 is a prime.

It is a super-2 number, since 2×9053812 = 1639429510322, 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 905381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (905581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452690 + 452691.

It is an arithmetic number, because the mean of its divisors is an integer number (452691).

2905381 is an apocalyptic number.

It is an amenable number.

905381 is a deficient number, since it is larger than the sum of its proper divisors (1).

905381 is an equidigital number, since it uses as much as digits as its factorization.

905381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 905381 is about 951.5151076047. The cubic root of 905381 is about 96.7409747049.

The spelling of 905381 in words is "nine hundred five thousand, three hundred eighty-one".