83685667 has 16 divisors (see below), whose sum is σ = 92087968. Its totient is φ = 75582720.

The previous prime is 83685649. The next prime is 83685673. The reversal of 83685667 is 76658638.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 83685667 - 2²³ = 75297059 is a prime.

It is a super-2 number, since 2×83685667² = 14006581722469778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83685667.

It is not an unprimeable number, because it can be changed into a prime (83685607) 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, 154417 + ... + 154957.

It is an arithmetic number, because the mean of its divisors is an integer number (5755498).

Almost surely, 2^83685667 is an apocalyptic number.

83685667 is a deficient number, since it is larger than the sum of its proper divisors (8402301).

83685667 is a wasteful number, since it uses less digits than its factorization.

83685667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its digits is 1451520, while the sum is 49.

The square root of 83685667 is about 9147.9870463398. The cubic root of 83685667 is about 437.4049504534.

The spelling of 83685667 in words is "eighty-three million, six hundred eighty-five thousand, six hundred sixty-seven".