413216167 has 24 divisors (see below), whose sum is σ = 519587376. Its totient is φ = 325721088.

The previous prime is 413216159. The next prime is 413216171. The reversal of 413216167 is 761612314.

It is not a de Polignac number, because 413216167 - 2³ = 413216159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413216107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194503 + ... + 196615.

It is an arithmetic number, because the mean of its divisors is an integer number (21649474).

Almost surely, 2^413216167 is an apocalyptic number.

413216167 is a deficient number, since it is larger than the sum of its proper divisors (106371209).

413216167 is a wasteful number, since it uses less digits than its factorization.

413216167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

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

The square root of 413216167 is about 20327.7191785011. The cubic root of 413216167 is about 744.8333287797.

The spelling of 413216167 in words is "four hundred thirteen million, two hundred sixteen thousand, one hundred sixty-seven".