972935 has 8 divisors (see below), whose sum is σ = 1205376. Its totient is φ = 753120.

The previous prime is 972901. The next prime is 972941. The reversal of 972935 is 539279.

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

It is not a de Polignac number, because 972935 - 2⁸ = 972679 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 972895 and 972904.

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 972935.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2984 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (150672).

2⁹⁷²⁹³⁵ is an apocalyptic number.

972935 is a deficient number, since it is larger than the sum of its proper divisors (232441).

972935 is a wasteful number, since it uses less digits than its factorization.

972935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313.

The product of its digits is 17010, while the sum is 35.

The square root of 972935 is about 986.3746752629. The cubic root of 972935 is about 99.0895696539.

The spelling of 972935 in words is "nine hundred seventy-two thousand, nine hundred thirty-five".