97337472 has 128 divisors (see below), whose sum is σ = 274959360. Its totient is φ = 30446592.

The previous prime is 97337459. The next prime is 97337473. The reversal of 97337472 is 27473379.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×97337472³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97337473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909643 + ... + 909749.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^97337472 is an apocalyptic number.

97337472 is a gapful number since it is divisible by the number (92) 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 97337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

97337472 is an abundant number, since it is smaller than the sum of its proper divisors (177621888).

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

97337472 is a wasteful number, since it uses less digits than its factorization.

97337472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 222264, while the sum is 42.

The square root of 97337472 is about 9865.9754712851. The cubic root of 97337472 is about 460.0023188289.

It can be divided in two parts, 9733 and 7472, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 97337472 in words is "ninety-seven million, three hundred thirty-seven thousand, four hundred seventy-two".