83585820 has 24 divisors (see below), whose sum is σ = 234040464. Its totient is φ = 22289536.

The previous prime is 83585819. The next prime is 83585833. The reversal of 83585820 is 2858538.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696489 + ... + 696608.

It is an arithmetic number, because the mean of its divisors is an integer number (9751686).

Almost surely, 2^83585820 is an apocalyptic number.

It is an amenable number.

83585820 is an abundant number, since it is smaller than the sum of its proper divisors (150454644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83585820 is a wasteful number, since it uses less digits than its factorization.

83585820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393109 (or 1393107 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 83585820 is about 9142.5280967575. The cubic root of 83585820 is about 437.2309224331.

It can be divided in two parts, 83 and 585820, that added together give a triangular number (585903 = T₁₀₈₂).

The spelling of 83585820 in words is "eighty-three million, five hundred eighty-five thousand, eight hundred twenty".