97533216 has 144 divisors (see below), whose sum is σ = 320550048. Its totient is φ = 27801600.

The previous prime is 97533203. The next prime is 97533239. The reversal of 97533216 is 61233579.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52951 + ... + 54761.

It is an arithmetic number, because the mean of its divisors is an integer number (2226042).

Almost surely, 2^97533216 is an apocalyptic number.

97533216 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 97533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275024).

97533216 is an abundant number, since it is smaller than the sum of its proper divisors (223016832).

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

97533216 is a wasteful number, since it uses less digits than its factorization.

97533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1844 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 97533216 is about 9875.8906433800. The cubic root of 97533216 is about 460.3104646412.

It can be divided in two parts, 975 and 33216, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 97533216 in words is "ninety-seven million, five hundred thirty-three thousand, two hundred sixteen".