973764 has 36 divisors (see below), whose sum is σ = 2686320. Its totient is φ = 294960.

The previous prime is 973759. The next prime is 973781. The reversal of 973764 is 467379.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973764.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (74620).

2⁹⁷³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

973764 is an abundant number, since it is smaller than the sum of its proper divisors (1712556).

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

973764 is a wasteful number, since it uses less digits than its factorization.

973764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2475 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 973764 is about 986.7948114983. The cubic root of 973764 is about 99.1177051180.

It can be divided in two parts, 9737 and 64, that added together give a square (9801 = 99²).

The spelling of 973764 in words is "nine hundred seventy-three thousand, seven hundred sixty-four".