972919 has 4 divisors (see below), whose sum is σ = 976144. Its totient is φ = 969696.

The previous prime is 972901. The next prime is 972941. The reversal of 972919 is 919279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 919279 = 59 ⋅15581.

It is a cyclic number.

It is not a de Polignac number, because 972919 - 2⁵ = 972887 is a prime.

It is a super-2 number, since 2×972919² = 1893142761122, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1107 + ... + 1780.

It is an arithmetic number, because the mean of its divisors is an integer number (244036).

2⁹⁷²⁹¹⁹ is an apocalyptic number.

972919 is a deficient number, since it is larger than the sum of its proper divisors (3225).

972919 is a wasteful number, since it uses less digits than its factorization.

972919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224.

The product of its digits is 10206, while the sum is 37.

The square root of 972919 is about 986.3665647213. The cubic root of 972919 is about 99.0890264721.

It can be divided in two parts, 972 and 919, that added together give a triangular number (1891 = T₆₁).

The spelling of 972919 in words is "nine hundred seventy-two thousand, nine hundred nineteen".