1157541 has 16 divisors (see below), whose sum is σ = 1924608. Its totient is φ = 601200.

The previous prime is 1157539. The next prime is 1157557. The reversal of 1157541 is 1457511.

It is not a de Polignac number, because 1157541 - 2¹ = 1157539 is a prime.

1157541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157531) 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, 2275 + ... + 2736.

It is an arithmetic number, because the mean of its divisors is an integer number (120288).

2^1157541 is an apocalyptic number.

1157541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1157541 is a deficient number, since it is larger than the sum of its proper divisors (767067).

1157541 is a wasteful number, since it uses less digits than its factorization.

1157541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032.

The product of its digits is 700, while the sum is 24.

The square root of 1157541 is about 1075.8907937147. The cubic root of 1157541 is about 104.9974602560.

The spelling of 1157541 in words is "one million, one hundred fifty-seven thousand, five hundred forty-one".