772001 has 2 divisors, whose sum is σ = 772002. Its totient is φ = 772000.

The previous prime is 771997. The next prime is 772003. The reversal of 772001 is 100277.

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., 678976 + 93025 = 824^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 772001 - 2² = 771997 is a prime.

It is a Sophie Germain prime.

Together with 772003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (772003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386000 + 386001.

It is an arithmetic number, because the mean of its divisors is an integer number (386001).

2⁷⁷²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

772001 is a deficient number, since it is larger than the sum of its proper divisors (1).

772001 is an equidigital number, since it uses as much as digits as its factorization.

772001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 772001 is about 878.6358745237. The cubic root of 772001 is about 91.7358918780.

Subtracting from 772001 its product of nonzero digits (98), we obtain a triangular number (771903 = T₁₂₄₂).

Adding to 772001 its reverse (100277), we get a palindrome (872278).

The spelling of 772001 in words is "seven hundred seventy-two thousand, one", and thus it is an iban number.