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337213813 is a prime number
BaseRepresentation
bin10100000110010…
…111100101110101
3212111112020101111
4110012113211311
51142311320223
653243355021
711233161436
oct2406274565
9774466344
10337213813
11163391802
1294b22a71
1354b2a401
1432add48d
151e91030d
hex14197975

337213813 has 2 divisors, whose sum is σ = 337213814. Its totient is φ = 337213812.

The previous prime is 337213801. The next prime is 337213831. The reversal of 337213813 is 318312733.

Together with next prime (337213831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312829969 + 24383844 = 17687^2 + 4938^2 .

It is an emirp because it is prime and its reverse (318312733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 337213813 - 217 = 337082741 is a prime.

It is a super-2 number, since 2×3372138132 = 227426311355997938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (337213873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168606906 + 168606907.

It is an arithmetic number, because the mean of its divisors is an integer number (168606907).

Almost surely, 2337213813 is an apocalyptic number.

It is an amenable number.

337213813 is a deficient number, since it is larger than the sum of its proper divisors (1).

337213813 is an equidigital number, since it uses as much as digits as its factorization.

337213813 is an odious number, because the sum of its binary digits is odd.

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

The square root of 337213813 is about 18363.3823954085. The cubic root of 337213813 is about 696.0414749638.

The spelling of 337213813 in words is "three hundred thirty-seven million, two hundred thirteen thousand, eight hundred thirteen".