10957541 has 8 divisors (see below), whose sum is σ = 12552000. Its totient is φ = 9370368.

The previous prime is 10957523. The next prime is 10957543. The reversal of 10957541 is 14575901.

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

It is not a de Polignac number, because 10957541 - 2¹⁴ = 10941157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10957498 and 10957507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957543) 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, 1925 + ... + 5061.

It is an arithmetic number, because the mean of its divisors is an integer number (1569000).

Almost surely, 2^10957541 is an apocalyptic number.

It is an amenable number.

10957541 is a deficient number, since it is larger than the sum of its proper divisors (1594459).

10957541 is an equidigital number, since it uses as much as digits as its factorization.

10957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 10957541 is about 3310.2176665591. The cubic root of 10957541 is about 222.1114947347. Note that the first 3 decimals are identical.

The spelling of 10957541 in words is "ten million, nine hundred fifty-seven thousand, five hundred forty-one".