997749144 has 128 divisors (see below), whose sum is σ = 3207936000. Its totient is φ = 281428992.

The previous prime is 997749143. The next prime is 997749199. The reversal of 997749144 is 441947799.

It is a super-3 number, since 3×997749144³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997749143) 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, 115272 + ... + 123624.

It is an arithmetic number, because the mean of its divisors is an integer number (25062000).

Almost surely, 2^997749144 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 997749144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603968000).

997749144 is an abundant number, since it is smaller than the sum of its proper divisors (2210186856).

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

997749144 is a wasteful number, since it uses less digits than its factorization.

997749144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8444 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 997749144 is about 31587.1673943708. The cubic root of 997749144 is about 999.2491510336.

The spelling of 997749144 in words is "nine hundred ninety-seven million, seven hundred forty-nine thousand, one hundred forty-four".