97783500 has 192 divisors, whose sum is σ = 310302720. Its totient is φ = 23846400.

The previous prime is 97783487. The next prime is 97783501. The reversal of 97783500 is 538779.

It is a super-2 number, since 2×97783500² = 19123225744500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97783501) 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 63 ways as a sum of consecutive naturals, for example, 1339464 + ... + 1339536.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^97783500 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 97783500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

97783500 is an abundant number, since it is smaller than the sum of its proper divisors (212519220).

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

97783500 is a wasteful number, since it uses less digits than its factorization.

97783500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 97783500 is about 9888.5539893353. The cubic root of 97783500 is about 460.7038688657.

The spelling of 97783500 in words is "ninety-seven million, seven hundred eighty-three thousand, five hundred".