83313167 has 16 divisors (see below), whose sum is σ = 96966720. Its totient is φ = 70109952.

The previous prime is 83313161. The next prime is 83313173. The reversal of 83313167 is 76131338.

It is an interprime number because it is at equal distance from previous prime (83313161) and next prime (83313173).

It is a cyclic number.

It is not a de Polignac number, because 83313167 - 2¹⁰ = 83312143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83313161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107393 + ... + 108165.

It is an arithmetic number, because the mean of its divisors is an integer number (6060420).

Almost surely, 2^83313167 is an apocalyptic number.

83313167 is a deficient number, since it is larger than the sum of its proper divisors (13653553).

83313167 is a wasteful number, since it uses less digits than its factorization.

83313167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042.

The product of its digits is 9072, while the sum is 32.

The square root of 83313167 is about 9127.6046693533. The cubic root of 83313167 is about 436.7549956959.

The spelling of 83313167 in words is "eighty-three million, three hundred thirteen thousand, one hundred sixty-seven".