972279 has 48 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 475200.

The previous prime is 972277. The next prime is 972313.

972279 = 257² + 258² + ... + 270².

972279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972279 - 2¹ = 972277 is a prime.

Its product of digits (15876) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15909 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2⁹⁷²²⁷⁹ is an apocalyptic number.

972279 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

972279 is a deficient number, since it is larger than the sum of its proper divisors (884745).

972279 is a wasteful number, since it uses less digits than its factorization.

972279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 972279 is about 986.0420883512. The cubic root of 972279 is about 99.0672943143.

Adding to 972279 its sum of digits (36), we get a triangular number (972315 = T₁₃₉₄).

It can be divided in two parts, 9722 and 79, that added together give a square (9801 = 99²).

The spelling of 972279 in words is "nine hundred seventy-two thousand, two hundred seventy-nine".