83435364 has 36 divisors (see below), whose sum is σ = 213283980. Its totient is φ = 27498240.

The previous prime is 83435357. The next prime is 83435377. The reversal of 83435364 is 46353438.

83435364 is a `hidden beast` number, since 83 + 43 + 536 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49702500 + 33732864 = 7050^2 + 5808^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×83435364² = 13922919931624992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9817 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (5924555).

Almost surely, 2^83435364 is an apocalyptic number.

It is an amenable number.

83435364 is an abundant number, since it is smaller than the sum of its proper divisors (129848616).

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

83435364 is a wasteful number, since it uses less digits than its factorization.

83435364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26140 (or 26135 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 83435364 is about 9134.2960319885. The cubic root of 83435364 is about 436.9684236584.

The spelling of 83435364 in words is "eighty-three million, four hundred thirty-five thousand, three hundred sixty-four".