971953 has 8 divisors (see below), whose sum is σ = 1011560. Its totient is φ = 933120.

The previous prime is 971951. The next prime is 971959. The reversal of 971953 is 359179.

It can be written as a sum of positive squares in 4 ways, for example, as 552049 + 419904 = 743^2 + 648^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 971953 - 2¹ = 971951 is a prime.

It is a Duffinian number.

971953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (971951) 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 7 ways as a sum of consecutive naturals, for example, 3913 + ... + 4153.

It is an arithmetic number, because the mean of its divisors is an integer number (126445).

2⁹⁷¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

971953 is a deficient number, since it is larger than the sum of its proper divisors (39607).

971953 is a wasteful number, since it uses less digits than its factorization.

971953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 8505, while the sum is 34.

The square root of 971953 is about 985.8767671469. The cubic root of 971953 is about 99.0562208302.

The spelling of 971953 in words is "nine hundred seventy-one thousand, nine hundred fifty-three".