82883340 has 36 divisors (see below), whose sum is σ = 251413344. Its totient is φ = 22102176.

The previous prime is 82883321. The next prime is 82883369. The reversal of 82883340 is 4338828.

It is a happy number.

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 = 82883295 and 82883304.

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, 230052 + ... + 230411.

It is an arithmetic number, because the mean of its divisors is an integer number (6983704).

Almost surely, 2^82883340 is an apocalyptic number.

It is an amenable number.

82883340 is an abundant number, since it is smaller than the sum of its proper divisors (168530004).

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

82883340 is a wasteful number, since it uses less digits than its factorization.

82883340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460478 (or 460473 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82883340 is about 9104.0287785134. The cubic root of 82883340 is about 436.0026021784.

It can be divided in two parts, 8288 and 3340, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 82883340 in words is "eighty-two million, eight hundred eighty-three thousand, three hundred forty".