436801 has 2 divisors, whose sum is σ = 436802. Its totient is φ = 436800.

The previous prime is 436757. The next prime is 436811. The reversal of 436801 is 108634.

436801 is nontrivially palindromic in base 5.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 123201 = 560^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 436801 - 2⁷ = 436673 is a prime.

It is a super-2 number, since 2×436801² = 381590227202, which contains 22 as substring.

It is a Chen prime.

It is equal to p₃₆₇₀₆ and since 436801 and 36706 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 (436811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 218400 + 218401.

It is an arithmetic number, because the mean of its divisors is an integer number (218401).

2⁴³⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

436801 is a deficient number, since it is larger than the sum of its proper divisors (1).

436801 is an equidigital number, since it uses as much as digits as its factorization.

436801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 436801 is about 660.9092222083. The cubic root of 436801 is about 75.8742727327.

It can be divided in two parts, 43680 and 1, that added together give a square (43681 = 209²).

The spelling of 436801 in words is "four hundred thirty-six thousand, eight hundred one".