82153120 has 48 divisors (see below), whose sum is σ = 221816448. Its totient is φ = 28166400.

The previous prime is 82153103. The next prime is 82153121. The reversal of 82153120 is 2135128.

It is a junction number, because it is equal to n+sod(n) for n = 82153091 and 82153100.

It is not an unprimeable number, because it can be changed into a prime (82153121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35556 + ... + 37795.

It is an arithmetic number, because the mean of its divisors is an integer number (4621176).

Almost surely, 2^82153120 is an apocalyptic number.

82153120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82153120 is an abundant number, since it is smaller than the sum of its proper divisors (139663328).

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

82153120 is a wasteful number, since it uses less digits than its factorization.

82153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73373 (or 73365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 82153120 is about 9063.8358325821. The cubic root of 82153120 is about 434.7183979146.

Adding to 82153120 its reverse (2135128), we get a palindrome (84288248).

The spelling of 82153120 in words is "eighty-two million, one hundred fifty-three thousand, one hundred twenty".