997657344 has 288 divisors, whose sum is σ = 3131735040. Its totient is φ = 312864768.

The previous prime is 997657343. The next prime is 997657351. The reversal of 997657344 is 443756799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (997657343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12019927 + ... + 12020009.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^997657344 is an apocalyptic number.

997657344 is a gapful number since it is divisible by the number (94) 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 997657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

997657344 is an abundant number, since it is smaller than the sum of its proper divisors (2134077696).

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

997657344 is a wasteful number, since it uses less digits than its factorization.

997657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 997657344 is about 31585.7142391936. The cubic root of 997657344 is about 999.2185040899.

It can be divided in two parts, 997657 and 344, that added together give a square (998001 = 999²).

The spelling of 997657344 in words is "nine hundred ninety-seven million, six hundred fifty-seven thousand, three hundred forty-four".