415667 has 12 divisors (see below), whose sum is σ = 513000. Its totient is φ = 334656.

The previous prime is 415661. The next prime is 415669. The reversal of 415667 is 766514.

It is not a de Polignac number, because 415667 - 2⁴ = 415651 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415667.

It is not an unprimeable number, because it can be changed into a prime (415661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (42750).

2⁴¹⁵⁶⁶⁷ is an apocalyptic number.

415667 is a deficient number, since it is larger than the sum of its proper divisors (97333).

415667 is a wasteful number, since it uses less digits than its factorization.

415667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 523 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 415667 is about 644.7224208913. The cubic root of 415667 is about 74.6302991298.

The spelling of 415667 in words is "four hundred fifteen thousand, six hundred sixty-seven".