421752667 has 16 divisors (see below), whose sum is σ = 493194240. Its totient is φ = 353138688.

The previous prime is 421752659. The next prime is 421752707. The reversal of 421752667 is 766257124.

It is not a de Polignac number, because 421752667 - 2³ = 421752659 is a prime.

It is a super-2 number, since 2×421752667² = 355750624243225778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421752767) 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 in 15 ways as a sum of consecutive naturals, for example, 252168 + ... + 253834.

It is an arithmetic number, because the mean of its divisors is an integer number (30824640).

Almost surely, 2^421752667 is an apocalyptic number.

421752667 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

421752667 is a deficient number, since it is larger than the sum of its proper divisors (71441573).

421752667 is a wasteful number, since it uses less digits than its factorization.

421752667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490.

The product of its digits is 141120, while the sum is 40.

The square root of 421752667 is about 20536.6177108111. The cubic root of 421752667 is about 749.9274993621.

The spelling of 421752667 in words is "four hundred twenty-one million, seven hundred fifty-two thousand, six hundred sixty-seven".