82633005 has 96 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 32790528.

The previous prime is 82632983. The next prime is 82633021. The reversal of 82633005 is 50033628.

It is not a de Polignac number, because 82633005 - 2⁶ = 82632941 is a prime.

Together with 104177619 it forms an amicable pair .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82633005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69022 + ... + 70208.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^82633005 is an apocalyptic number.

82633005 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82633005 is an abundant number, since it is smaller than the sum of its proper divisors (104177619).

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

82633005 is a wasteful number, since it uses less digits than its factorization.

82633005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82633005 is about 9090.2697979763. The cubic root of 82633005 is about 435.5632023243.

The spelling of 82633005 in words is "eighty-two million, six hundred thirty-three thousand, five".