971261 has 16 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 829440.

The previous prime is 971251. The next prime is 971263. The reversal of 971261 is 162179.

It is a cyclic number.

It is not a de Polignac number, because 971261 - 2⁶ = 971197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 971261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971263) 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, 9965 + ... + 10061.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁹⁷¹²⁶¹ is an apocalyptic number.

It is an amenable number.

971261 is a deficient number, since it is larger than the sum of its proper divisors (157699).

971261 is a wasteful number, since it uses less digits than its factorization.

971261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 756, while the sum is 26.

The square root of 971261 is about 985.5257480147. The cubic root of 971261 is about 99.0327069432.

The spelling of 971261 in words is "nine hundred seventy-one thousand, two hundred sixty-one".