99541 has 12 divisors (see below), whose sum is σ = 117120. Its totient is φ = 84240.

The previous prime is 99529. The next prime is 99551. The reversal of 99541 is 14599.

99541 = 13³ + 14³ + ... + 25³.

It is a de Polignac number, because none of the positive numbers 2^k-99541 is a prime.

It is the 316-th Hogben number.

It is a Duffinian number.

99541 is a lucky number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99551) by changing a digit.

It is a nontrivial repunit in base 315.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3196 + ... + 3226.

It is an arithmetic number, because the mean of its divisors is an integer number (9760).

2⁹⁹⁵⁴¹ is an apocalyptic number.

99541 is the 169-th nonagonal number.

It is an amenable number.

99541 is a deficient number, since it is larger than the sum of its proper divisors (17579).

99541 is a wasteful number, since it uses less digits than its factorization.

99541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The square root of 99541 is about 315.5011885873. The cubic root of 99541 is about 46.3447630941.

The spelling of 99541 in words is "ninety-nine thousand, five hundred forty-one".