Search a number
-
+
624000397 is a prime number
BaseRepresentation
bin100101001100010…
…111110110001101
31121111011111121211
4211030113312031
52234221003042
6141530254421
721314626066
oct4514276615
91544144554
10624000397
112a0260809
12154b87411
139c37cb07
145cc3356d
1539bae017
hex25317d8d

624000397 has 2 divisors, whose sum is σ = 624000398. Its totient is φ = 624000396.

The previous prime is 624000389. The next prime is 624000401. The reversal of 624000397 is 793000426.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 514881481 + 109118916 = 22691^2 + 10446^2 .

It is a cyclic number.

It is not a de Polignac number, because 624000397 - 23 = 624000389 is a prime.

It is a super-3 number, since 3×6240003973 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (624030397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312000198 + 312000199.

It is an arithmetic number, because the mean of its divisors is an integer number (312000199).

Almost surely, 2624000397 is an apocalyptic number.

It is an amenable number.

624000397 is a deficient number, since it is larger than the sum of its proper divisors (1).

624000397 is an equidigital number, since it uses as much as digits as its factorization.

624000397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 624000397 is about 24979.9999399520. Note that the first 4 decimals coincide. The cubic root of 624000397 is about 854.5319175624.

The spelling of 624000397 in words is "six hundred twenty-four million, three hundred ninety-seven", and thus it is an aban number.