82153620 has 36 divisors (see below), whose sum is σ = 249199860. Its totient is φ = 21907584.

The previous prime is 82153619. The next prime is 82153651. The reversal of 82153620 is 2635128.

It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 19236996 = 7932^2 + 4386^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228025 + ... + 228384.

Almost surely, 2^82153620 is an apocalyptic number.

It is an amenable number.

82153620 is an abundant number, since it is smaller than the sum of its proper divisors (167046240).

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

82153620 is a wasteful number, since it uses less digits than its factorization.

82153620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456424 (or 456419 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82153620 is about 9063.8634146814. The cubic root of 82153620 is about 434.7192798400.

Adding to 82153620 its reverse (2635128), we get a palindrome (84788748).

The spelling of 82153620 in words is "eighty-two million, one hundred fifty-three thousand, six hundred twenty".