83345940 has 36 divisors (see below), whose sum is σ = 252816564. Its totient is φ = 22225536.

The previous prime is 83345921. The next prime is 83345987. The reversal of 83345940 is 4954338.

It can be written as a sum of positive squares in 2 ways, for example, as 55086084 + 28259856 = 7422^2 + 5316^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 83345895 and 83345904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231337 + ... + 231696.

Almost surely, 2^83345940 is an apocalyptic number.

It is an amenable number.

83345940 is an abundant number, since it is smaller than the sum of its proper divisors (169470624).

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

83345940 is a wasteful number, since it uses less digits than its factorization.

83345940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463048 (or 463043 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83345940 is about 9129.3997612110. The cubic root of 83345940 is about 436.8122571330.

The spelling of 83345940 in words is "eighty-three million, three hundred forty-five thousand, nine hundred forty".