7957261 has 8 divisors (see below), whose sum is σ = 8731800. Its totient is φ = 7205952.

The previous prime is 7957259. The next prime is 7957273. The reversal of 7957261 is 1627597.

7957261 is nontrivially palindromic in base 11.

7957261 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 2621161 + 5336100 = 1619^2 + 2310^2 .

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

It is not a de Polignac number, because 7957261 - 2¹ = 7957259 is a prime.

It is a Duffinian number.

7957261 is an undulating number in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 7957261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7957211) 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 7 ways as a sum of consecutive naturals, for example, 5086 + ... + 6463.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^7957261 is an apocalyptic number.

It is an amenable number.

7957261 is a deficient number, since it is larger than the sum of its proper divisors (774539).

7957261 is a wasteful number, since it uses less digits than its factorization.

7957261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615.

The product of its digits is 26460, while the sum is 37.

The square root of 7957261 is about 2820.8617477643. The cubic root of 7957261 is about 199.6432055337.

The spelling of 7957261 in words is "seven million, nine hundred fifty-seven thousand, two hundred sixty-one".