91405 has 8 divisors (see below), whose sum is σ = 111384. Its totient is φ = 72000.

The previous prime is 91397. The next prime is 91411. The reversal of 91405 is 50419.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 84681 = 82^2 + 291^2 .

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

It is not a de Polignac number, because 91405 - 2³ = 91397 is a prime.

It is a Duffinian number.

91405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2⁹¹⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

91405 is a deficient number, since it is larger than the sum of its proper divisors (19979).

91405 is a wasteful number, since it uses less digits than its factorization.

91405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 91405 is about 302.3325983086. The cubic root of 91405 is about 45.0460434079.

It can be divided in two parts, 91 and 405, that added together give a triangular number (496 = T₃₁).

The spelling of 91405 in words is "ninety-one thousand, four hundred five".