167355 has 12 divisors (see below), whose sum is σ = 290160. Its totient is φ = 89232.

The previous prime is 167341. The next prime is 167381. The reversal of 167355 is 553761.

It is not a de Polignac number, because 167355 - 2⁴ = 167339 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815 + ... + 1904.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2¹⁶⁷³⁵⁵ is an apocalyptic number.

167355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

167355 is a deficient number, since it is larger than the sum of its proper divisors (122805).

167355 is a wasteful number, since it uses less digits than its factorization.

167355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3727 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 167355 is about 409.0904545452. The cubic root of 167355 is about 55.1077776424.

It can be divided in two parts, 1673 and 55, that added together give a cube (1728 = 12³).

The spelling of 167355 in words is "one hundred sixty-seven thousand, three hundred fifty-five".