997129152 has 168 divisors, whose sum is σ = 3066897600. Its totient is φ = 308625408.

The previous prime is 997129151. The next prime is 997129153. The reversal of 997129152 is 251921799.

It is an interprime number because it is at equal distance from previous prime (997129151) and next prime (997129153).

It is a junction number, because it is equal to n+sod(n) for n = 997129098 and 997129107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997129151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772924 + ... + 774212.

Almost surely, 2^997129152 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 997129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533448800).

997129152 is an abundant number, since it is smaller than the sum of its proper divisors (2069768448).

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

997129152 is a wasteful number, since it uses less digits than its factorization.

997129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 997129152 is about 31577.3518839057. The cubic root of 997129152 is about 999.0421334513.

The spelling of 997129152 in words is "nine hundred ninety-seven million, one hundred twenty-nine thousand, one hundred fifty-two".