82213400 has 24 divisors (see below), whose sum is σ = 191146620. Its totient is φ = 32885280.

The previous prime is 82213381. The next prime is 82213427. The reversal of 82213400 is 431228.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205334 + ... + 205733.

Almost surely, 2^82213400 is an apocalyptic number.

It is an amenable number.

82213400 is an abundant number, since it is smaller than the sum of its proper divisors (108933220).

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

82213400 is a wasteful number, since it uses less digits than its factorization.

82213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411083 (or 411074 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 82213400 is about 9067.1605257655. The cubic root of 82213400 is about 434.8246970560.

Adding to 82213400 its reverse (431228), we get a palindrome (82644628).

The spelling of 82213400 in words is "eighty-two million, two hundred thirteen thousand, four hundred".