82697700 has 72 divisors (see below), whose sum is σ = 243248320. Its totient is φ = 21686400.

The previous prime is 82697687. The next prime is 82697711. The reversal of 82697700 is 779628.

82697700 = T₂₅₁ + T₂₅₂ + ... + T₇₉₉.

82697700 is nontrivially palindromic in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16041 + ... + 20559.

Almost surely, 2^82697700 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 82697700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121624160).

82697700 is an abundant number, since it is smaller than the sum of its proper divisors (160550620).

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

82697700 is a wasteful number, since it uses less digits than its factorization.

82697700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 82697700 is about 9093.8275769887. The cubic root of 82697700 is about 435.6768429964.

The spelling of 82697700 in words is "eighty-two million, six hundred ninety-seven thousand, seven hundred".