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700993 is a prime number
BaseRepresentation
bin10101011001001000001
31022121120201
42223021001
5134412433
623005201
75646466
oct2531101
91277521
10700993
11439737
12299801
131b70b7
1414366d
15dca7d
hexab241

700993 has 2 divisors, whose sum is σ = 700994. Its totient is φ = 700992.

The previous prime is 700963. The next prime is 701009. The reversal of 700993 is 399007.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 300304 = 633^2 + 548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-700993 is a prime.

It is a super-3 number, since 3×7009933 = 1033385345046139971, which contains 333 as substring.

700993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (700933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 350496 + 350497.

It is an arithmetic number, because the mean of its divisors is an integer number (350497).

2700993 is an apocalyptic number.

It is an amenable number.

700993 is a deficient number, since it is larger than the sum of its proper divisors (1).

700993 is an equidigital number, since it uses as much as digits as its factorization.

700993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 700993 is about 837.2532472317. The cubic root of 700993 is about 88.8323655118.

The spelling of 700993 in words is "seven hundred thousand, nine hundred ninety-three".