973075950 has 576 divisors, whose sum is σ = 3609768960. Its totient is φ = 188179200.

The previous prime is 973075897. The next prime is 973075951. The reversal of 973075950 is 59570379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 973075896 and 973075905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973075951) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26299332 + ... + 26299368.

It is an arithmetic number, because the mean of its divisors is an integer number (6266960).

Almost surely, 2^973075950 is an apocalyptic number.

973075950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 973075950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804884480).

973075950 is an abundant number, since it is smaller than the sum of its proper divisors (2636693010).

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

973075950 is a wasteful number, since it uses less digits than its factorization.

973075950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 973075950 is about 31194.1653198158. The cubic root of 973075950 is about 990.9435448891.

The spelling of 973075950 in words is "nine hundred seventy-three million, seventy-five thousand, nine hundred fifty".