972357 has 4 divisors (see below), whose sum is σ = 1296480. Its totient is φ = 648236.

The previous prime is 972353. The next prime is 972373. The reversal of 972357 is 753279.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 972357 - 2² = 972353 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 9² + 7⁵ + 3⁶ + 2¹⁷ + 5³ + 7⁷ .

It is a D-number.

972357 is a lucky number.

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 972357.

It is not an unprimeable number, because it can be changed into a prime (972353) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 162057 + ... + 162062.

It is an arithmetic number, because the mean of its divisors is an integer number (324120).

2⁹⁷²³⁵⁷ is an apocalyptic number.

It is an amenable number.

972357 is a deficient number, since it is larger than the sum of its proper divisors (324123).

972357 is a wasteful number, since it uses less digits than its factorization.

972357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324122.

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

The square root of 972357 is about 986.0816396222. The cubic root of 972357 is about 99.0699434312.

The spelling of 972357 in words is "nine hundred seventy-two thousand, three hundred fifty-seven".