97022016 has 224 divisors, whose sum is σ = 351617280. Its totient is φ = 25546752.

The previous prime is 97021993. The next prime is 97022039. The reversal of 97022016 is 61022079.

It is an interprime number because it is at equal distance from previous prime (97021993) and next prime (97022039).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156940 + ... + 157556.

It is an arithmetic number, because the mean of its divisors is an integer number (1569720).

Almost surely, 2^97022016 is an apocalyptic number.

97022016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175808640).

97022016 is an abundant number, since it is smaller than the sum of its proper divisors (254595264).

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

97022016 is a wasteful number, since it uses less digits than its factorization.

97022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97022016 is about 9849.9754314414. The cubic root of 97022016 is about 459.5048484244.

The spelling of 97022016 in words is "ninety-seven million, twenty-two thousand, sixteen".