401012827 has 2 divisors, whose sum is σ = 401012828. Its totient is φ = 401012826.

The previous prime is 401012819. The next prime is 401012831. The reversal of 401012827 is 728210104.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401012827 - 2³ = 401012819 is a prime.

It is a super-2 number, since 2×401012827² = 321622574837063858, which contains 22 as substring.

It is equal to p_21387400 and since 401012827 and 21387400 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 (401012627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200506413 + 200506414.

It is an arithmetic number, because the mean of its divisors is an integer number (200506414).

Almost surely, 2^401012827 is an apocalyptic number.

401012827 is a deficient number, since it is larger than the sum of its proper divisors (1).

401012827 is an equidigital number, since it uses as much as digits as its factorization.

401012827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 401012827 is about 20025.3046668459. The cubic root of 401012827 is about 737.4276566787.

The spelling of 401012827 in words is "four hundred one million, twelve thousand, eight hundred twenty-seven".