82862900 has 36 divisors (see below), whose sum is σ = 181428492. Its totient is φ = 32847360.

The previous prime is 82862887. The next prime is 82862909. The reversal of 82862900 is 926828.

It can be written as a sum of positive squares in 6 ways, for example, as 44249104 + 38613796 = 6652^2 + 6214^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82862909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7634 + ... + 14966.

Almost surely, 2^82862900 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 82862900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90714246).

82862900 is an abundant number, since it is smaller than the sum of its proper divisors (98565592).

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

82862900 is a wasteful number, since it uses less digits than its factorization.

82862900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 82862900 is about 9102.9061293633. The cubic root of 82862900 is about 435.9667581199.

The spelling of 82862900 in words is "eighty-two million, eight hundred sixty-two thousand, nine hundred".