997542 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 254016.

The previous prime is 997541. The next prime is 997547. The reversal of 997542 is 245799.

It is an Ulam number.

Its product of digits (22680) is a multiple of the sum of its prime divisors (54).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 997497 and 997506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34384 + ... + 34412.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁹⁹⁷⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

997542 is an abundant number, since it is smaller than the sum of its proper divisors (1875258).

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

997542 is a wasteful number, since it uses less digits than its factorization.

997542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 997542 is about 998.7702438499. The cubic root of 997542 is about 99.9179994441.

Adding to 997542 its sum of digits (36), we get a triangular number (997578 = T₁₄₁₂).

The spelling of 997542 in words is "nine hundred ninety-seven thousand, five hundred forty-two".