973950 has 48 divisors (see below), whose sum is σ = 2487936. Its totient is φ = 252000.

The previous prime is 973919. The next prime is 973957. The reversal of 973950 is 59379.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973957) by changing a digit.

973950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6375 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (51832).

2⁹⁷³⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243968).

973950 is an abundant number, since it is smaller than the sum of its proper divisors (1513986).

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

973950 is a wasteful number, since it uses less digits than its factorization.

973950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 973950 is about 986.8890515149. The cubic root of 973950 is about 99.1240155859.

The spelling of 973950 in words is "nine hundred seventy-three thousand, nine hundred fifty".