82903200 has 72 divisors (see below), whose sum is σ = 269857728. Its totient is φ = 22106880.

The previous prime is 82903193. The next prime is 82903211. The reversal of 82903200 is 230928.

82903200 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14872 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (3748024).

Almost surely, 2^82903200 is an apocalyptic number.

82903200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82903200 is an abundant number, since it is smaller than the sum of its proper divisors (186954528).

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

82903200 is a wasteful number, since it uses less digits than its factorization.

82903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34566 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 82903200 is about 9105.1194390848. The cubic root of 82903200 is about 436.0374234914.

The spelling of 82903200 in words is "eighty-two million, nine hundred three thousand, two hundred".