972305 has 8 divisors (see below), whose sum is σ = 1176000. Its totient is φ = 771696.

The previous prime is 972277. The next prime is 972313. The reversal of 972305 is 503279.

972305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 972305 - 2¹⁰ = 971281 is a prime.

It is a nialpdrome in base 16.

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, 5 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

2⁹⁷²³⁰⁵ is an apocalyptic number.

It is an amenable number.

972305 is a deficient number, since it is larger than the sum of its proper divisors (203695).

972305 is a wasteful number, since it uses less digits than its factorization.

972305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 972305 is about 986.0552722845. The cubic root of 972305 is about 99.0681773690.

Subtracting from 972305 its sum of digits (26), we obtain a palindrome (972279).

The spelling of 972305 in words is "nine hundred seventy-two thousand, three hundred five".