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332993 is a prime number
BaseRepresentation
bin1010001010011000001
3121220210002
41101103001
541123433
611045345
72554553
oct1212301
9556702
10332993
11208201
12140855
13b874b
14894d3
15689e8
hex514c1

332993 has 2 divisors, whose sum is σ = 332994. Its totient is φ = 332992.

The previous prime is 332989. The next prime is 333019. The reversal of 332993 is 399233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332929 + 64 = 577^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 332993 - 22 = 332989 is a prime.

It is a super-2 number, since 2×3329932 = 221768676098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166496 + 166497.

It is an arithmetic number, because the mean of its divisors is an integer number (166497).

2332993 is an apocalyptic number.

It is an amenable number.

332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

332993 is an equidigital number, since it uses as much as digits as its factorization.

332993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 29.

The square root of 332993 is about 577.0554566071. The cubic root of 332993 is about 69.3125220042.

The spelling of 332993 in words is "three hundred thirty-two thousand, nine hundred ninety-three".