82153400 has 144 divisors (see below), whose sum is σ = 227094840. Its totient is φ = 27552000.

The previous prime is 82153399. The next prime is 82153411. The reversal of 82153400 is 435128.

It is a super-2 number, since 2×82153400² = 13498362263120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 813350 + ... + 813450.

Almost surely, 2^82153400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547420).

82153400 is an abundant number, since it is smaller than the sum of its proper divisors (144941440).

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

82153400 is a wasteful number, since it uses less digits than its factorization.

82153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

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

The square root of 82153400 is about 9063.8512785681. The cubic root of 82153400 is about 434.7188917933.

Adding to 82153400 its reverse (435128), we get a palindrome (82588528).

The spelling of 82153400 in words is "eighty-two million, one hundred fifty-three thousand, four hundred".