919971 has 16 divisors (see below), whose sum is σ = 1468320. Its totient is φ = 565920.

The previous prime is 919969. The next prime is 919979. The reversal of 919971 is 179919.

919971 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 919971 - 2¹ = 919969 is a prime.

919971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (919979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (91770).

2⁹¹⁹⁹⁷¹ is an apocalyptic number.

919971 is a deficient number, since it is larger than the sum of its proper divisors (548349).

919971 is a wasteful number, since it uses less digits than its factorization.

919971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2637 counting only the distinct ones).

The product of its digits is 5103, while the sum is 36.

The square root of 919971 is about 959.1511872484. The cubic root of 919971 is about 97.2578606881.

The spelling of 919971 in words is "nine hundred nineteen thousand, nine hundred seventy-one".