97819650 has 144 divisors (see below), whose sum is σ = 278669664. Its totient is φ = 25505280.

The previous prime is 97819613. The next prime is 97819651. The reversal of 97819650 is 5691879.

It is a super-2 number, since 2×97819650² = 19137367852245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 97819596 and 97819605.

It is not an unprimeable number, because it can be changed into a prime (97819651) 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 71 ways as a sum of consecutive naturals, for example, 1008402 + ... + 1008498.

It is an arithmetic number, because the mean of its divisors is an integer number (1935206).

Almost surely, 2^97819650 is an apocalyptic number.

97819650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97819650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334832).

97819650 is an abundant number, since it is smaller than the sum of its proper divisors (180850014).

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

97819650 is a wasteful number, since it uses less digits than its factorization.

97819650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 97819650 is about 9890.3816913201. The cubic root of 97819650 is about 460.7606350650.

The spelling of 97819650 in words is "ninety-seven million, eight hundred nineteen thousand, six hundred fifty".