973741000 has 128 divisors (see below), whose sum is σ = 2382981120. Its totient is φ = 372000000.

The previous prime is 973740997. The next prime is 973741003. The reversal of 973741000 is 147379.

It is an interprime number because it is at equal distance from previous prime (973740997) and next prime (973741003).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (973741003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130845 + ... + 3131155.

It is an arithmetic number, because the mean of its divisors is an integer number (18617040).

Almost surely, 2^973741000 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 973741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191490560).

973741000 is an abundant number, since it is smaller than the sum of its proper divisors (1409240120).

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

973741000 is a wasteful number, since it uses less digits than its factorization.

973741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 973741000 is about 31204.8233451177. The cubic root of 973741000 is about 991.1692473549.

Adding to 973741000 its reverse (147379), we get a palindrome (973888379).

The spelling of 973741000 in words is "nine hundred seventy-three million, seven hundred forty-one thousand".