82653006 has 32 divisors (see below), whose sum is σ = 172274688. Its totient is φ = 26406720.

The previous prime is 82653001. The next prime is 82653019. The reversal of 82653006 is 60035628.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82653001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17826 + ... + 21978.

It is an arithmetic number, because the mean of its divisors is an integer number (5383584).

Almost surely, 2^82653006 is an apocalyptic number.

82653006 is an abundant number, since it is smaller than the sum of its proper divisors (89621682).

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

82653006 is a wasteful number, since it uses less digits than its factorization.

82653006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 82653006 is about 9091.3698637774. The cubic root of 82653006 is about 435.5983416202.

The spelling of 82653006 in words is "eighty-two million, six hundred fifty-three thousand, six".