97269984 has 144 divisors (see below), whose sum is σ = 328019328. Its totient is φ = 27775872.

The previous prime is 97269961. The next prime is 97270001. The reversal of 97269984 is 48996279.

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

It is a super-2 number, since 2×97269984² = 18922899574720512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97269984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53539 + ... + 55325.

It is an arithmetic number, because the mean of its divisors is an integer number (2277912).

Almost surely, 2^97269984 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 97269984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164009664).

97269984 is an abundant number, since it is smaller than the sum of its proper divisors (230749344).

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

97269984 is a wasteful number, since it uses less digits than its factorization.

97269984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 97269984 is about 9862.5546386319. The cubic root of 97269984 is about 459.8959815213.

The spelling of 97269984 in words is "ninety-seven million, two hundred sixty-nine thousand, nine hundred eighty-four".