83087164 has 12 divisors (see below), whose sum is σ = 148496544. Its totient is φ = 40659584.

The previous prime is 83087159. The next prime is 83087167. The reversal of 83087164 is 46178038.

It is a happy number.

83087164 is nontrivially palindromic in base 8.

83087164 is an undulating number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83087167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220789 + ... + 221164.

It is an arithmetic number, because the mean of its divisors is an integer number (12374712).

Almost surely, 2^83087164 is an apocalyptic number.

It is an amenable number.

83087164 is a deficient number, since it is larger than the sum of its proper divisors (65409380).

83087164 is a wasteful number, since it uses less digits than its factorization.

83087164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442004 (or 442002 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 83087164 is about 9115.2160698472. The cubic root of 83087164 is about 436.3597107233.

The spelling of 83087164 in words is "eighty-three million, eighty-seven thousand, one hundred sixty-four".