97782564 has 48 divisors (see below), whose sum is σ = 255640896. Its totient is φ = 28828800.

The previous prime is 97782563. The next prime is 97782571. The reversal of 97782564 is 46528779.

It is a super-2 number, since 2×97782564² = 19122859644828192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97782563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (5325852).

Almost surely, 2^97782564 is an apocalyptic number.

It is an amenable number.

97782564 is an abundant number, since it is smaller than the sum of its proper divisors (157858332).

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

97782564 is a wasteful number, since it uses less digits than its factorization.

97782564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20076 (or 20074 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 97782564 is about 9888.5066617766. The cubic root of 97782564 is about 460.7023988829.

It can be divided in two parts, 97782 and 564, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 97782564 in words is "ninety-seven million, seven hundred eighty-two thousand, five hundred sixty-four".