973100 has 36 divisors (see below), whose sum is σ = 2176944. Its totient is φ = 377280.

The previous prime is 973099. The next prime is 973129. The reversal of 973100 is 1379.

It is a super-2 number, since 2×973100² = 1893847220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3569 + ... + 3831.

2⁹⁷³¹⁰⁰ 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 973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088472).

973100 is an abundant number, since it is smaller than the sum of its proper divisors (1203844).

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

973100 is a wasteful number, since it uses less digits than its factorization.

973100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 973100 is about 986.4583113340. The cubic root of 973100 is about 99.0951708690.

Adding to 973100 its reverse (1379), we get a palindrome (974479).

It can be divided in two parts, 97 and 3100, that multiplied together give a triangular number (300700 = T₇₇₅).

The spelling of 973100 in words is "nine hundred seventy-three thousand, one hundred".