67405 has 16 divisors (see below), whose sum is σ = 93744. Its totient is φ = 46080.

The previous prime is 67399. The next prime is 67409. The reversal of 67405 is 50476.

67405 = T₉ + T₁₀ + ... + T₇₃.

It can be written as a sum of positive squares in 8 ways, for example, as 11236 + 56169 = 106^2 + 237^2 .

It is not a de Polignac number, because 67405 - 2¹¹ = 65357 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 (67409) 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, 1075 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁶⁷⁴⁰⁵ is an apocalyptic number.

67405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67405 is a deficient number, since it is larger than the sum of its proper divisors (26339).

67405 is a wasteful number, since it uses less digits than its factorization.

67405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 67405 is about 259.6247291766. The cubic root of 67405 is about 40.6971538234.

The spelling of 67405 in words is "sixty-seven thousand, four hundred five".