973129950 has 288 divisors, whose sum is σ = 2997120672. Its totient is φ = 233280000.

The previous prime is 973129943. The next prime is 973129961. The reversal of 973129950 is 59921379.

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 = 973129896 and 973129905.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 9634900 + ... + 9635000.

It is an arithmetic number, because the mean of its divisors is an integer number (10406669).

Almost surely, 2^973129950 is an apocalyptic number.

973129950 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 973129950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498560336).

973129950 is an abundant number, since it is smaller than the sum of its proper divisors (2023990722).

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

973129950 is a wasteful number, since it uses less digits than its factorization.

973129950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 973129950 is about 31195.0308542883. The cubic root of 973129950 is about 990.9618750656.

The spelling of 973129950 in words is "nine hundred seventy-three million, one hundred twenty-nine thousand, nine hundred fifty".