• 957541² = 916884766681 is an anagram of the next square 957542² = 916886681764.

---

957541 has 8 divisors (see below), whose sum is σ = 1046360. Its totient is φ = 870912.

The previous prime is 957529. The next prime is 957547. The reversal of 957541 is 145759.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 940900 = 129^2 + 970^2 .

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 957541 - 2⁷ = 957413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957547) 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, 445 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (130795).

2⁹⁵⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

957541 is a deficient number, since it is larger than the sum of its proper divisors (88819).

957541 is a wasteful number, since it uses less digits than its factorization.

957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095.

The product of its digits is 6300, while the sum is 31.

The square root of 957541 is about 978.5402393361. The cubic root of 957541 is about 98.5641829623.

The spelling of 957541 in words is "nine hundred fifty-seven thousand, five hundred forty-one".