997152 has 96 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 282624.

The previous prime is 997151. The next prime is 997153. The reversal of 997152 is 251799.

997152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (997151) and next prime (997153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×997152² = 1988624222208, which contains 22 as substring.

Its product of digits (5670) is a multiple of the sum of its prime factors (90).

It is not an unprimeable number, because it can be changed into a prime (997151) 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, 21193 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁹⁹⁷¹⁵² 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 997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

997152 is an abundant number, since it is smaller than the sum of its proper divisors (2051040).

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

997152 is a wasteful number, since it uses less digits than its factorization.

997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 997152 is about 998.5749846656. The cubic root of 997152 is about 99.9049764004.

The spelling of 997152 in words is "nine hundred ninety-seven thousand, one hundred fifty-two".