97409340 has 144 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 22007808.

The previous prime is 97409339. The next prime is 97409341. The reversal of 97409340 is 4390479.

It is an interprime number because it is at equal distance from previous prime (97409339) and next prime (97409341).

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

It is a junction number, because it is equal to n+sod(n) for n = 97409295 and 97409304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97409341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121822 + ... + 122618.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^97409340 is an apocalyptic number.

97409340 is a gapful number since it is divisible by the number (90) 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 97409340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170797536).

97409340 is an abundant number, since it is smaller than the sum of its proper divisors (244185732).

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

97409340 is a wasteful number, since it uses less digits than its factorization.

97409340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97409340 is about 9869.6170138461. The cubic root of 97409340 is about 460.1155034465.

The spelling of 97409340 in words is "ninety-seven million, four hundred nine thousand, three hundred forty".