997632 has 54 divisors (see below), whose sum is σ = 2883062. Its totient is φ = 331776.

The previous prime is 997627. The next prime is 997637. The reversal of 997632 is 236799.

It is an interprime number because it is at equal distance from previous prime (997627) and next prime (997637).

It can be written as a sum of positive squares in only one way, i.e., 665856 + 331776 = 816^2 + 576^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (997637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2088 + ... + 2520.

2⁹⁹⁷⁶³² 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 997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441531).

997632 is an abundant number, since it is smaller than the sum of its proper divisors (1885430).

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

997632 is a wasteful number, since it uses less digits than its factorization.

997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 997632 is about 998.8152982409. The cubic root of 997632 is about 99.9210042799.

The spelling of 997632 in words is "nine hundred ninety-seven thousand, six hundred thirty-two".