972737 has 4 divisors (see below), whose sum is σ = 981936. Its totient is φ = 963540.

The previous prime is 972721. The next prime is 972787. The reversal of 972737 is 737279.

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 972737 - 2⁴ = 972721 is a prime.

It is a d-powerful number, because it can be written as 9³ + 7³ + 7⁵ + 2¹⁷ + 3⁵ + 7⁷ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972697 and 972706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972737.

It is not an unprimeable number, because it can be changed into a prime (972787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4439 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (245484).

2⁹⁷²⁷³⁷ is an apocalyptic number.

It is an amenable number.

972737 is a deficient number, since it is larger than the sum of its proper divisors (9199).

972737 is a wasteful number, since it uses less digits than its factorization.

972737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198.

The product of its digits is 18522, while the sum is 35.

The square root of 972737 is about 986.2743026157. The cubic root of 972737 is about 99.0828473597.

The spelling of 972737 in words is "nine hundred seventy-two thousand, seven hundred thirty-seven".