83681667 has 48 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 51269760.

The previous prime is 83681651. The next prime is 83681669. The reversal of 83681667 is 76618638.

It is not a de Polignac number, because 83681667 - 2⁴ = 83681651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83681669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193942 + ... + 194372.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^83681667 is an apocalyptic number.

83681667 is a deficient number, since it is larger than the sum of its proper divisors (52180605).

83681667 is a wasteful number, since it uses less digits than its factorization.

83681667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 83681667 is about 9147.7684163953. The cubic root of 83681667 is about 437.3979813282.

It can be divided in two parts, 83681 and 667, that added together give a palindrome (84348).

The spelling of 83681667 in words is "eighty-three million, six hundred eighty-one thousand, six hundred sixty-seven".