617801 has 2 divisors, whose sum is σ = 617802. Its totient is φ = 617800.

The previous prime is 617791. The next prime is 617809. The reversal of 617801 is 108716.

617801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 602176 + 15625 = 776^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-617801 is a prime.

It is a Chen prime.

It is equal to p₅₀₄₅₉ and since 617801 and 50459 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (617809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308900 + 308901.

It is an arithmetic number, because the mean of its divisors is an integer number (308901).

2⁶¹⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

617801 is a deficient number, since it is larger than the sum of its proper divisors (1).

617801 is an equidigital number, since it uses as much as digits as its factorization.

617801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 617801 is about 786.0031806551. The cubic root of 617801 is about 85.1692590428.

The spelling of 617801 in words is "six hundred seventeen thousand, eight hundred one".