97793520 has 160 divisors (see below), whose sum is σ = 350334720. Its totient is φ = 22302720.

The previous prime is 97793497. The next prime is 97793543. The reversal of 97793520 is 2539779.

It is an interprime number because it is at equal distance from previous prime (97793497) and next prime (97793543).

It is a super-3 number, since 3×97793520³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 43791 + ... + 45969.

It is an arithmetic number, because the mean of its divisors is an integer number (2189592).

Almost surely, 2^97793520 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 97793520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175167360).

97793520 is an abundant number, since it is smaller than the sum of its proper divisors (252541200).

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

97793520 is a wasteful number, since it uses less digits than its factorization.

97793520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 97793520 is about 9889.0606227285. The cubic root of 97793520 is about 460.7196046327.

The spelling of 97793520 in words is "ninety-seven million, seven hundred ninety-three thousand, five hundred twenty".