82914400 has 36 divisors (see below), whose sum is σ = 202416732. Its totient is φ = 33165440.

The previous prime is 82914353. The next prime is 82914401. The reversal of 82914400 is 441928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82914401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51022 + ... + 52621.

It is an arithmetic number, because the mean of its divisors is an integer number (5622687).

Almost surely, 2^82914400 is an apocalyptic number.

82914400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82914400 is an abundant number, since it is smaller than the sum of its proper divisors (119502332).

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

82914400 is a wasteful number, since it uses less digits than its factorization.

82914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103663 (or 103650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 82914400 is about 9105.7344569233. The cubic root of 82914400 is about 436.0570584361.

The spelling of 82914400 in words is "eighty-two million, nine hundred fourteen thousand, four hundred".