972735 has 8 divisors (see below), whose sum is σ = 1556400. Its totient is φ = 518784.

The previous prime is 972721. The next prime is 972787. The reversal of 972735 is 537279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972735 - 2¹¹ = 970687 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972696 and 972705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972735.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32410 + ... + 32439.

It is an arithmetic number, because the mean of its divisors is an integer number (194550).

2⁹⁷²⁷³⁵ is an apocalyptic number.

972735 is a deficient number, since it is larger than the sum of its proper divisors (583665).

972735 is a wasteful number, since it uses less digits than its factorization.

972735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64857.

The product of its digits is 13230, while the sum is 33.

The square root of 972735 is about 986.2732886984. The cubic root of 972735 is about 99.0827794531.

The spelling of 972735 in words is "nine hundred seventy-two thousand, seven hundred thirty-five".