82997604 has 36 divisors (see below), whose sum is σ = 222142284. Its totient is φ = 26038272.

The previous prime is 82997599. The next prime is 82997609. The reversal of 82997604 is 40679928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82997599) and next prime (82997609).

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 40068900 = 6552^2 + 6330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82997604.

It is not an unprimeable number, because it can be changed into a prime (82997609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 67197 + ... + 68420.

It is an arithmetic number, because the mean of its divisors is an integer number (6170619).

Almost surely, 2^82997604 is an apocalyptic number.

It is an amenable number.

82997604 is an abundant number, since it is smaller than the sum of its proper divisors (139144680).

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

82997604 is a wasteful number, since it uses less digits than its factorization.

82997604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135644 (or 135639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 82997604 is about 9110.3020806118. The cubic root of 82997604 is about 436.2028697070.

The spelling of 82997604 in words is "eighty-two million, nine hundred ninety-seven thousand, six hundred four".