972361 has 4 divisors (see below), whose sum is σ = 1047172. Its totient is φ = 897552.

The previous prime is 972353. The next prime is 972373. The reversal of 972361 is 163279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 163279 = 67 ⋅2437.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 891136 = 285^2 + 944^2 .

It is a cyclic number.

It is not a de Polignac number, because 972361 - 2³ = 972353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972161) 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, 37386 + ... + 37411.

It is an arithmetic number, because the mean of its divisors is an integer number (261793).

2⁹⁷²³⁶¹ is an apocalyptic number.

It is an amenable number.

972361 is a deficient number, since it is larger than the sum of its proper divisors (74811).

972361 is a wasteful number, since it uses less digits than its factorization.

972361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74810.

The product of its digits is 2268, while the sum is 28.

The square root of 972361 is about 986.0836678497. The cubic root of 972361 is about 99.0700792796.

It can be divided in two parts, 9 and 72361, that multiplied together give a square (651249 = 807²).

The spelling of 972361 in words is "nine hundred seventy-two thousand, three hundred sixty-one".