76001 has 2 divisors, whose sum is σ = 76002. Its totient is φ = 76000.

The previous prime is 75997. The next prime is 76003. The reversal of 76001 is 10067.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 5776 = 265^2 + 76^2 .

It is an emirp because it is prime and its reverse (10067) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76001 - 2² = 75997 is a prime.

It is a Sophie Germain prime.

Together with 76003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76001.

It is not a weakly prime, because it can be changed into another prime (76003) 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, 38000 + 38001.

It is an arithmetic number, because the mean of its divisors is an integer number (38001).

2⁷⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

76001 is a deficient number, since it is larger than the sum of its proper divisors (1).

76001 is an equidigital number, since it uses as much as digits as its factorization.

76001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 76001 is about 275.6827887265. The cubic root of 76001 is about 42.3584216235.

Adding to 76001 its reverse (10067), we get a palindrome (86068).

The spelling of 76001 in words is "seventy-six thousand, one".