401610667 has 2 divisors, whose sum is σ = 401610668. Its totient is φ = 401610666.

The previous prime is 401610661. The next prime is 401610707. The reversal of 401610667 is 766016104.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 401610667 - 2¹⁹ = 401086379 is a prime.

It is a super-2 number, since 2×401610667² = 322582255696369778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401610661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200805333 + 200805334.

It is an arithmetic number, because the mean of its divisors is an integer number (200805334).

Almost surely, 2^401610667 is an apocalyptic number.

401610667 is a deficient number, since it is larger than the sum of its proper divisors (1).

401610667 is an equidigital number, since it uses as much as digits as its factorization.

401610667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 401610667 is about 20040.2262212780. The cubic root of 401610667 is about 737.7939332815.

The spelling of 401610667 in words is "four hundred one million, six hundred ten thousand, six hundred sixty-seven".