973313820 has 120 divisors (see below), whose sum is σ = 3151978368. Its totient is φ = 251164800.

The previous prime is 973313797. The next prime is 973313821. The reversal of 973313820 is 28313379.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973313821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40530 + ... + 59910.

Almost surely, 2^973313820 is an apocalyptic number.

973313820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973313820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575989184).

973313820 is an abundant number, since it is smaller than the sum of its proper divisors (2178664548).

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

973313820 is a wasteful number, since it uses less digits than its factorization.

973313820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973313820 is about 31197.9778190831. The cubic root of 973313820 is about 991.0242842314.

The spelling of 973313820 in words is "nine hundred seventy-three million, three hundred thirteen thousand, eight hundred twenty".