972689 has 8 divisors (see below), whose sum is σ = 1065960. Its totient is φ = 883456.

The previous prime is 972683. The next prime is 972701. The reversal of 972689 is 986279.

972689 = T₂₂₂ + T₂₂₃ + ... + T₂₅₅.

It can be written as a sum of positive squares in 4 ways, for example, as 148225 + 824464 = 385^2 + 908^2 .

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

It is not a de Polignac number, because 972689 - 2¹² = 968593 is a prime.

It is a super-2 number, since 2×972689² = 1892247781442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (133245).

2⁹⁷²⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

972689 is a deficient number, since it is larger than the sum of its proper divisors (93271).

972689 is a wasteful number, since it uses less digits than its factorization.

972689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its digits is 54432, while the sum is 41.

The square root of 972689 is about 986.2499683143. The cubic root of 972689 is about 99.0812175752.

It can be divided in two parts, 972 and 689, that added together give a palindrome (1661).

The spelling of 972689 in words is "nine hundred seventy-two thousand, six hundred eighty-nine".