167409 has 24 divisors (see below), whose sum is σ = 280800. Its totient is φ = 95040.

The previous prime is 167407. The next prime is 167413. The reversal of 167409 is 904761.

167409 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 167409 - 2¹ = 167407 is a prime.

167409 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (167407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2¹⁶⁷⁴⁰⁹ is an apocalyptic number.

167409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

167409 is a deficient number, since it is larger than the sum of its proper divisors (113391).

167409 is a wasteful number, since it uses less digits than its factorization.

167409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 167409 is about 409.1564492954. The cubic root of 167409 is about 55.1137041658.

Adding to 167409 its product of nonzero digits (1512), we get a square (168921 = 411²).

It can be divided in two parts, 167 and 409, that added together give a square (576 = 24²).

The spelling of 167409 in words is "one hundred sixty-seven thousand, four hundred nine".