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96769 is a prime number
BaseRepresentation
bin10111101000000001
311220202001
4113220001
511044034
62024001
7552061
oct275001
9156661
1096769
1166782
1248001
133507a
14273a1
151da14
hex17a01

96769 has 2 divisors, whose sum is σ = 96770. Its totient is φ = 96768.

The previous prime is 96763. The next prime is 96779.

96769 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 14400 = 287^2 + 120^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 96769 - 25 = 96737 is a prime.

It is a super-2 number, since 2×967692 = 18728478722, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

96769 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (96763) 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, 48384 + 48385.

It is an arithmetic number, because the mean of its divisors is an integer number (48385).

It is a Proth number, since it is equal to 189 ⋅ 29 + 1 and 189 < 29.

296769 is an apocalyptic number.

It is an amenable number.

96769 is a deficient number, since it is larger than the sum of its proper divisors (1).

96769 is an equidigital number, since it uses as much as digits as its factorization.

96769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 37.

The square root of 96769 is about 311.0771608460. The cubic root of 96769 is about 45.9105065318.

The spelling of 96769 in words is "ninety-six thousand, seven hundred sixty-nine".