82985652 has 36 divisors (see below), whose sum is σ = 212730336. Its totient is φ = 27271440.

The previous prime is 82985627. The next prime is 82985663. The reversal of 82985652 is 25658928.

82985652 is a `hidden beast` number, since 82 + 9 + 8 + 565 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82985598 and 82985607.

It is a congruent number.

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, 13678 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (5909176).

Almost surely, 2^82985652 is an apocalyptic number.

It is an amenable number.

82985652 is an abundant number, since it is smaller than the sum of its proper divisors (129744684).

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

82985652 is a wasteful number, since it uses less digits than its factorization.

82985652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32548 (or 32543 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 82985652 is about 9109.6460963091. The cubic root of 82985652 is about 436.1819303596.

The spelling of 82985652 in words is "eighty-two million, nine hundred eighty-five thousand, six hundred fifty-two".