82212053 has 24 divisors (see below), whose sum is σ = 105237504. Its totient is φ = 63504000.

The previous prime is 82212043. The next prime is 82212083. The reversal of 82212053 is 35021228.

It is not a de Polignac number, because 82212053 - 2⁶ = 82211989 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82212023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67853 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (4384896).

Almost surely, 2^82212053 is an apocalyptic number.

It is an amenable number.

82212053 is a deficient number, since it is larger than the sum of its proper divisors (23025451).

82212053 is a wasteful number, since it uses less digits than its factorization.

82212053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 82212053 is about 9067.0862464190. The cubic root of 82212053 is about 434.8223222928.

The spelling of 82212053 in words is "eighty-two million, two hundred twelve thousand, fifty-three".