10400801 has 2 divisors, whose sum is σ = 10400802. Its totient is φ = 10400800.

The previous prime is 10400783. The next prime is 10400827. The reversal of 10400801 is 10800401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10240000 + 160801 = 3200^2 + 401^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400801 - 2¹⁸ = 10138657 is a prime.

It is a super-2 number, since 2×10400801² = 216353322883202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10400851) 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, 5200400 + 5200401.

It is an arithmetic number, because the mean of its divisors is an integer number (5200401).

Almost surely, 2^10400801 is an apocalyptic number.

It is an amenable number.

10400801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400801 is an equidigital number, since it uses as much as digits as its factorization.

10400801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10400801 is about 3225.0272867063. The cubic root of 10400801 is about 218.2841803510.

The spelling of 10400801 in words is "ten million, four hundred thousand, eight hundred one".